当前期刊: Compositio Mathematica Go to current issue    加入关注    本刊投稿指南
显示样式:        排序: IF: - GO 导出
我的关注
我的收藏
您暂时未登录!
登录
  • G-torseurs en théorie de Hodge p-adique
    Compos. Math. (IF 1.2) Pub Date : 2020-11-24
    Laurent Fargues

    Étant donné un groupe réductif $G$ sur une extension de degré fini de $\mathbb {Q}_p$ on classifie les $G$-fibrés sur la courbe introduite dans Fargues and Fontaine [Courbes et fibrés vectoriels en théorie de Hodge $p$-adique, Astérisque 406 (2018)]. Le résultat est interprété en termes de l'ensemble $B(G)$ de Kottwitz. On calcule également la cohomologie étale de la courbe à coefficients de torsion

    更新日期:2020-11-25
  • K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: The structure of the invariant
    Compos. Math. (IF 1.2) Pub Date : 2020-11-19
    Shouhei Ma; Ken-Ichi Yoshikawa

    Yoshikawa in [Invent. Math. 156 (2004), 53–117] introduces a holomorphic torsion invariant of $K3$ surfaces with involution. In this paper we completely determine its structure as an automorphic function on the moduli space of such $K3$ surfaces. On every component of the moduli space, it is expressed as the product of an explicit Borcherds lift and a classical Siegel modular form. We also introduce

    更新日期:2020-11-19
  • Decomposition of degenerate Gromov–Witten invariants
    Compos. Math. (IF 1.2) Pub Date : 2020-11-19
    Dan Abramovich; Qile Chen; Mark Gross; Bernd Siebert

    We prove a decomposition formula of logarithmic Gromov–Witten invariants in a degeneration setting. A one-parameter log smooth family $X \longrightarrow B$ with singular fibre over $b_0\in B$ yields a family $\mathscr {M}(X/B,\beta ) \longrightarrow B$ of moduli stacks of stable logarithmic maps. We give a virtual decomposition of the fibre of this family over $b_0$ in terms of rigid tropical maps

    更新日期:2020-11-19
  • On uniqueness of p-adic period morphisms, II
    Compos. Math. (IF 1.2) Pub Date : 2020-11-10
    Wiesława Nizioł

    We prove equality of the various rational $p$ -adic period morphisms for smooth, not necessarily proper, schemes. We start with showing that the $K$ -theoretical uniqueness criterion we had found earlier for proper smooth schemes extends to proper finite simplicial schemes in the good reduction case and to cohomology with compact support in the semistable reduction case. It yields the equality of the

    更新日期:2020-11-12
  • Constructing Fano 3-folds from cluster varieties of rank 2
    Compos. Math. (IF 1.2) Pub Date : 2020-11-09
    Stephen Coughlan; Tom Ducat

    Cluster algebras give rise to a class of Gorenstein rings which enjoy a large amount of symmetry. Concentrating on the rank 2 cases, we show how cluster varieties can be used to construct many interesting projective algebraic varieties. Our main application is then to construct hundreds of families of Fano 3-folds in codimensions 4 and 5. In particular, for Fano 3-folds in codimension 4 we construct

    更新日期:2020-11-09
  • The smooth locus in infinite-level Rapoport–Zink spaces
    Compos. Math. (IF 1.2) Pub Date : 2020-11-03
    Alexander B. Ivanov; Jared Weinstein

    Rapoport–Zink spaces are deformation spaces for $p$ -divisible groups with additional structure. At infinite level, they become preperfectoid spaces. Let ${{\mathscr M}}_{\infty }$ be an infinite-level Rapoport–Zink space of EL type, and let ${{\mathscr M}}_{\infty }^{\circ }$ be one connected component of its geometric fiber. We show that ${{\mathscr M}}_{\infty }^{\circ }$ contains a dense open subset

    更新日期:2020-11-03
  • Arithmetic diagonal cycles on unitary Shimura varieties
    Compos. Math. (IF 1.2) Pub Date : 2020-10-27
    M. Rapoport; B. Smithling; W. Zhang

    We define variants of PEL type of the Shimura varieties that appear in the context of the arithmetic Gan–Gross–Prasad (AGGP) conjecture. We formulate for them a version of the AGGP conjecture. We also construct (global and semi-global) integral models of these Shimura varieties and formulate for them conjectures on arithmetic intersection numbers. We prove some of these conjectures in low dimension

    更新日期:2020-10-30
  • Rational cobordisms and integral homology
    Compos. Math. (IF 1.2) Pub Date : 2020-10-29
    Paolo Aceto; Daniele Celoria; JungHwan Park

    We consider the question of when a rational homology $3$ -sphere is rational homology cobordant to a connected sum of lens spaces. We prove that every rational homology cobordism class in the subgroup generated by lens spaces is represented by a unique connected sum of lens spaces whose first homology group injects in the first homology group of any other element in the same class. As a first consequence

    更新日期:2020-10-30
  • A strictly commutative model for the cochain algebra of a space
    Compos. Math. (IF 1.2) Pub Date : 2020-10-12
    Birgit Richter; Steffen Sagave

    The commutative differential graded algebra $A_{\mathrm {PL}}(X)$ of polynomial forms on a simplicial set $X$ is a crucial tool in rational homotopy theory. In this note, we construct an integral version $A^{\mathcal {I}}(X)$ of $A_{\mathrm {PL}}(X)$ . Our approach uses diagrams of chain complexes indexed by the category of finite sets and injections $\mathcal {I}$ to model $E_{\infty }$ differential

    更新日期:2020-10-12
  • A note on the number of irrational odd zeta values
    Compos. Math. (IF 1.2) Pub Date : 2020-10-09
    Li Lai; Pin Yu

    We prove that, for any small $\varepsilon > 0$ , the number of irrationals among the following odd zeta values: $\zeta (3),\zeta (5),\zeta (7),\ldots ,\zeta (s)$ is at least $( c_0 - \varepsilon )({s^{1/2}}/{(\log s)^{1/2}})$ , provided $s$ is a sufficiently large odd integer with respect to $\varepsilon$ . The constant $c_0 = 1.192507\ldots$ can be expressed in closed form. Our work improves the lower

    更新日期:2020-10-11
  • Orbifold hyperbolicity
    Compos. Math. (IF 1.2) Pub Date : 2020-10-08
    Frédéric Campana; Lionel Darondeau; Erwan Rousseau

    We define and study jet bundles in the geometric orbifold category. We show that the usual arguments from the compact and the logarithmic settings do not all extend to this more general framework. This is illustrated by simple examples of orbifold pairs of general type that do not admit any global jet differential, even if some of these examples satisfy the Green–Griffiths–Lang conjecture. This contrasts

    更新日期:2020-10-08
  • Groups of piecewise linear homeomorphisms of flows
    Compos. Math. (IF 1.2) Pub Date : 2020-10-05
    Nicolás Matte Bon; Michele Triestino

    To every dynamical system $(X,\varphi )$ over a totally disconnected compact space, we associate a left-orderable group $T(\varphi )$ . It is defined as a group of homeomorphisms of the suspension of $(X,\varphi )$ which preserve every orbit of the suspension flow and act by dyadic piecewise linear homeomorphisms in the flow direction. We show that if the system is minimal, the group is simple and

    更新日期:2020-10-05
  • Global geometry on moduli of local systems for surfaces with boundary
    Compos. Math. (IF 1.2) Pub Date : 2020-10-01
    Junho Peter Whang

    We show that every coarse moduli space, parametrizing complex special linear rank-2 local systems with fixed boundary traces on a surface with nonempty boundary, is log Calabi–Yau in that it has a normal projective compactification with trivial log canonical divisor. We connect this to a novel symmetry of generating series for counts of essential multicurves on the surface.

    更新日期:2020-10-02
  • Local intertwining relation for metaplectic groups
    Compos. Math. (IF 1.2) Pub Date : 2020-10-01
    Hiroshi Ishimoto

    In an earlier paper of Wee Teck Gan and Gordan Savin, the local Langlands correspondence for metaplectic groups over a nonarchimedean local field of characteristic zero was established. In this paper, we formulate and prove a local intertwining relation for metaplectic groups assuming the local intertwining relation for non-quasi-split odd special orthogonal groups.

    更新日期:2020-10-02
  • Degeneracy loci, virtual cycles and nested Hilbert schemes II
    Compos. Math. (IF 1.2) Pub Date : 2020-10-01
    Amin Gholampour; Richard P. Thomas

    We express nested Hilbert schemes of points and curves on a smooth projective surface as ‘virtual resolutions’ of degeneracy loci of maps of vector bundles on smooth ambient spaces. We show how to modify the resulting obstruction theories to produce the virtual cycles of Vafa–Witten theory and other sheaf-counting problems. The result is an effective way of calculating invariants (VW, SW, local PT

    更新日期:2020-10-02
  • Étale Steenrod operations and the Artin–Tate pairing
    Compos. Math. (IF 1.2) Pub Date : 2020-07-13
    Tony Feng

    We prove a 1966 conjecture of Tate concerning the Artin–Tate pairing on the Brauer group of a surface over a finite field, which is the analog of the Cassels–Tate pairing. Tate asked if this pairing is always alternating and we find an affirmative answer, which is somewhat surprising in view of the work of Poonen–Stoll on the Cassels–Tate pairing. Our method is based on studying a connection between

    更新日期:2020-07-13
  • Summands of theta divisors on Jacobians
    Compos. Math. (IF 1.2) Pub Date : 2020-07-08
    Thomas Krämer

    We show that the only summands of the theta divisor on Jacobians of curves and on intermediate Jacobians of cubic threefolds are the powers of the curve and the Fano surface of lines on the threefold. The proof only uses the decomposition theorem for perverse sheaves, some representation theory and the notion of characteristic cycles.

    更新日期:2020-07-08
  • The test function conjecture for local models of Weil-restricted groups
    Compos. Math. (IF 1.2) Pub Date : 2020-07-06
    Thomas J. Haines; Timo Richarz

    We prove the test function conjecture of Kottwitz and the first named author for local models of Shimura varieties with parahoric level structure attached to Weil-restricted groups, as defined by B. Levin. Our result covers the (modified) local models attached to all connected reductive groups over $p$ -adic local fields with $p\geqslant 5$ . In addition, we give a self-contained study of relative

    更新日期:2020-07-06
  • The bounded height conjecture for semiabelian varieties
    Compos. Math. (IF 1.2) Pub Date : 2020-06-30
    Lars Kühne

    The bounded height conjecture of Bombieri, Masser, and Zannier states that for any sufficiently generic algebraic subvariety of a semiabelian $\overline{\mathbb{Q}}$ -variety $G$ there is an upper bound on the Weil height of the points contained in its intersection with the union of all algebraic subgroups having (at most) complementary dimension in  $G$ . This conjecture has been shown by Habegger

    更新日期:2020-06-30
  • Computing a categorical Gromov–Witten invariant
    Compos. Math. (IF 1.2) Pub Date : 2020-06-18
    Andrei Căldăraru; Junwu Tu

    We compute the $g=1$ , $n=1$ B-model Gromov–Witten invariant of an elliptic curve $E$ directly from the derived category $\mathsf{D}_{\mathsf{coh}}^{b}(E)$ . More precisely, we carry out the computation of the categorical Gromov–Witten invariant defined by Costello using as target a cyclic $\mathscr{A}_{\infty }$ model of $\mathsf{D}_{\mathsf{coh}}^{b}(E)$ described by Polishchuk. This is the first

    更新日期:2020-06-18
  • Homological mirror symmetry for higher-dimensional pairs of pants
    Compos. Math. (IF 1.2) Pub Date : 2020-06-18
    Yankı Lekili; Alexander Polishchuk

    Using Auroux’s description of Fukaya categories of symmetric products of punctured surfaces, we compute the partially wrapped Fukaya category of the complement of $k+1$ generic hyperplanes in $\mathbb{CP}^{n}$ , for $k\geqslant n$ , with respect to certain stops in terms of the endomorphism algebra of a generating set of objects. The stops are chosen so that the resulting algebra is formal. In the

    更新日期:2020-06-18
  • An exceptional Siegel–Weil formula and poles of the Spin L-function of $\text{PGSp}_{6}$
    Compos. Math. (IF 1.2) Pub Date : 2020-05-29
    Wee Teck Gan; Gordan Savin

    We show a Siegel–Weil formula in the setting of exceptional theta correspondence. Using this, together with a new Rankin–Selberg integral for the Spin L-function of $\text{PGSp}_{6}$ discovered by Pollack, we prove that a cuspidal representation of $\text{PGSp}_{6}$ is a (weak) functorial lift from the exceptional group $G_{2}$ if its (partial) Spin L-function has a pole at $s=1$ .

    更新日期:2020-05-29
  • Corrigendum: Around $\boldsymbol{\ell }$ -independence
    Compos. Math. (IF 1.2) Pub Date : 2020-05-29
    Bruno Chiarellotto; Christopher Lazda

    We correct the proof of the main $\ell$ -independence result of the above-mentioned paper by showing that for any smooth and proper variety over an equicharacteristic local field, there exists a globally defined such variety with the same ( $p$ -adic and $\ell$ -adic) cohomology.

    更新日期:2020-05-29
  • Shimura varieties at level $\unicode[STIX]{x1D6E4}_{1}(p^{\infty })$ and Galois representations
    Compos. Math. (IF 1.2) Pub Date : 2020-05-26
    Ana Caraiani; Daniel R. Gulotta; Chi-Yun Hsu; Christian Johansson; Lucia Mocz; Emanuel Reinecke; Sheng-Chi Shih

    We show that the compactly supported cohomology of certain $\text{U}(n,n)$ - or $\text{Sp}(2n)$ -Shimura varieties with $\unicode[STIX]{x1D6E4}_{1}(p^{\infty })$ -level vanishes above the middle degree. The only assumption is that we work over a CM field $F$ in which the prime $p$ splits completely. We also give an application to Galois representations for torsion in the cohomology of the locally symmetric

    更新日期:2020-05-26
  • Cuspidal cohomology of stacks of shtukas
    Compos. Math. (IF 1.2) Pub Date : 2020-05-14
    Cong Xue

    Let $G$ be a connected split reductive group over a finite field $\mathbb{F}_{q}$ and $X$ a smooth projective geometrically connected curve over $\mathbb{F}_{q}$ . The $\ell$ -adic cohomology of stacks of $G$ -shtukas is a generalization of the space of automorphic forms with compact support over the function field of $X$ . In this paper, we construct a constant term morphism on the cohomology of stacks

    更新日期:2020-05-14
  • Monoidal categorification and quantum affine algebras
    Compos. Math. (IF 1.2) Pub Date : 2020-04-27
    Masaki Kashiwara; Myungho Kim; Se-jin Oh; Euiyong Park

    We introduce and investigate new invariants of pairs of modules $M$ and $N$ over quantum affine algebras $U_{q}^{\prime }(\mathfrak{g})$ by analyzing their associated $R$ -matrices. Using these new invariants, we provide a criterion for a monoidal category of finite-dimensional integrable $U_{q}^{\prime }(\mathfrak{g})$ -modules to become a monoidal categorification of a cluster algebra.

    更新日期:2020-04-27
  • Characteristic directions of two-dimensional biholomorphisms
    Compos. Math. (IF 1.2) Pub Date : 2020-03-31
    Lorena López-Hernanz; Rudy Rosas

    We prove that for each characteristic direction $[v]$ of a tangent to the identity diffeomorphism of order $k+1$ in $(\mathbb{C}^{2},0)$ there exist either an analytic curve of fixed points tangent to $[v]$ or $k$ parabolic manifolds where all the orbits are tangent to $[v]$ , and that at least one of these parabolic manifolds is or contains a parabolic curve.

    更新日期:2020-04-20
  • Classification of algebraic solutions of irregular Garnier systems
    Compos. Math. (IF 1.2) Pub Date : 2020-04-14
    Karamoko Diarra; Frank Loray

    We prove that algebraic solutions of Garnier systems in the irregular case are of two types. The classical ones come from isomonodromic deformations of linear equations with diagonal or dihedral differential Galois group; we give a complete list in the rank-2 case (two indeterminates). The pull-back ones come from deformations of coverings over a fixed degenerate hypergeometric equation; we provide

    更新日期:2020-04-20
  • Local Rankin–Selberg integrals for Speh representations
    Compos. Math. (IF 1.2) Pub Date : 2020-04-13
    Erez M. Lapid; Zhengyu Mao

    We construct analogues of Rankin–Selberg integrals for Speh representations of the general linear group over a $p$ -adic field. The integrals are in terms of the (extended) Shalika model and are expected to be the local counterparts of (suitably regularized) global integrals involving square-integrable automorphic forms and Eisenstein series on the general linear group over a global field. We relate

    更新日期:2020-04-20
  • Unistructurality of cluster algebras
    Compos. Math. (IF 1.2) Pub Date : 2020-04-17
    Peigen Cao; Fang Li

    We prove that any skew-symmetrizable cluster algebra is unistructural, which is a conjecture by Assem, Schiffler and Shramchenko. As a corollary, we obtain that a cluster automorphism of a cluster algebra ${\mathcal{A}}({\mathcal{S}})$ is just an automorphism of the ambient field ${\mathcal{F}}$ which restricts to a permutation of the cluster variables of ${\mathcal{A}}({\mathcal{S}})$ .

    更新日期:2020-04-20
  • Lower bounds for Maass forms on semisimple groups
    Compos. Math. (IF 1.2) Pub Date : 2020-04-17
    Farrell Brumley; Simon Marshall

    Let $G$ be an anisotropic semisimple group over a totally real number field $F$ . Suppose that $G$ is compact at all but one infinite place $v_{0}$ . In addition, suppose that $G_{v_{0}}$ is $\mathbb{R}$ -almost simple, not split, and has a Cartan involution defined over $F$ . If $Y$ is a congruence arithmetic manifold of non-positive curvature associated with $G$ , we prove that there exists a sequence

    更新日期:2020-04-20
  • Motohashi’s fourth moment identity for non-archimedean test functions and applications
    Compos. Math. (IF 1.2) Pub Date : 2020-04-17
    Valentin Blomer; Peter Humphries; Rizwanur Khan; Micah B. Milinovich

    Motohashi established an explicit identity between the fourth moment of the Riemann zeta function weighted by some test function and a spectral cubic moment of automorphic $L$ -functions. By an entirely different method, we prove a generalization of this formula to a fourth moment of Dirichlet $L$ -functions modulo $q$ weighted by a non-archimedean test function. This establishes a new reciprocity

    更新日期:2020-04-20
  • Projective objects and the modified trace in factorisable finite tensor categories
    Compos. Math. (IF 1.2) Pub Date : 2020-03-26
    Azat M. Gainutdinov; Ingo Runkel

    For ${\mathcal{C}}$ a factorisable and pivotal finite tensor category over an algebraically closed field of characteristic zero we show: (1) ${\mathcal{C}}$ always contains a simple projective object; (2) if ${\mathcal{C}}$ is in addition ribbon, the internal characters of projective modules span a submodule for the projective $\text{SL}(2,\mathbb{Z})$ -action; (3) the action of the Grothendieck ring

    更新日期:2020-03-27
  • Stability in the high-dimensional cohomology of congruence subgroups
    Compos. Math. (IF 1.2) Pub Date : 2020-03-24
    Jeremy Miller; Rohit Nagpal; Peter Patzt

    We prove a representation stability result for the codimension-one cohomology of the level-three congruence subgroup of $\mathbf{SL}_{n}(\mathbb{Z})$ . This is a special case of a question of Church, Farb, and Putman which we make more precise. Our methods involve proving finiteness properties of the Steinberg module for the group $\mathbf{SL}_{n}(K)$ for $K$ a field. This also lets us give a new proof

    更新日期:2020-03-24
  • Relative cubulations and groups with a 2-sphere boundary
    Compos. Math. (IF 1.2) Pub Date : 2020-03-24
    Eduard Einstein; Daniel Groves

    We introduce a new kind of action of a relatively hyperbolic group on a $\text{CAT}(0)$ cube complex, called a relatively geometric action. We provide an application to characterize finite-volume Kleinian groups in terms of actions on cube complexes, analogous to the results of Markovic and Haïssinsky in the closed case.

    更新日期:2020-03-24
  • Counting Higgs bundles and type $A$ quiver bundles
    Compos. Math. (IF 1.2) Pub Date : 2020-02-27
    Sergey Mozgovoy; Olivier Schiffmann

    We prove a closed formula counting semistable twisted (or meromorphic) Higgs bundles of fixed rank and degree over a smooth projective curve of genus $g$ defined over a finite field, when the twisting line bundle degree is at least $2g-2$ (this includes the case of usual Higgs bundles). This yields a closed expression for the Donaldson–Thomas invariants of the moduli spaces of twisted Higgs bundles

    更新日期:2020-02-27
  • Gonality of dynatomic curves and strong uniform boundedness of preperiodic points
    Compos. Math. (IF 1.2) Pub Date : 2020-02-17
    John R. Doyle; Bjorn Poonen

    Fix $d\geqslant 2$ and a field $k$ such that $\operatorname{char}k\nmid d$ . Assume that $k$ contains the $d$ th roots of $1$ . Then the irreducible components of the curves over $k$ parameterizing preperiodic points of polynomials of the form $z^{d}+c$ are geometrically irreducible and have gonality tending to $\infty$ . This implies the function field analogue of the strong uniform boundedness conjecture

    更新日期:2020-02-18
  • Deformation spaces and normal forms around transversals
    Compos. Math. (IF 1.2) Pub Date : 2020-02-17
    Francis Bischoff; Henrique Bursztyn; Hudson Lima; Eckhard Meinrenken

    Given a manifold $M$ with a submanifold $N$ , the deformation space ${\mathcal{D}}(M,N)$ is a manifold with a submersion to $\mathbb{R}$ whose zero fiber is the normal bundle $\unicode[STIX]{x1D708}(M,N)$ , and all other fibers are equal to $M$ . This article uses deformation spaces to study the local behavior of various geometric structures associated with singular foliations, with $N$ a submanifold

    更新日期:2020-02-18
  • The algebraic dimension of compact complex threefolds with vanishing second Betti number
    Compos. Math. (IF 1.2) Pub Date : 2020-02-13
    Frédéric Campana; Jean-Pierre Demailly; Thomas Peternell

    We study compact complex three-dimensional manifolds with vanishing second Betti number. In particular, we show that a compact complex manifold homeomorphic to the six-dimensional sphere does carry any non-constant meromorphic function.

    更新日期:2020-02-13
  • Ordinary primes in Hilbert modular varieties
    Compos. Math. (IF 1.2) Pub Date : 2020-02-06
    Junecue Suh

    A well-known conjecture, often attributed to Serre, asserts that any motive over any number field has infinitely many ordinary reductions (in the sense that the Newton polygon coincides with the Hodge polygon). In the case of Hilbert modular cuspforms $f$ of parallel weight $(2,\ldots ,2)$ , we show how to produce more ordinary primes by using the Sato–Tate equidistribution and combining it with the

    更新日期:2020-02-07
  • On the $K(\unicode[STIX]{x1D70B},1)$ -problem for restrictions of complex reflection arrangements
    Compos. Math. (IF 1.2) Pub Date : 2020-01-20
    Nils Amend; Pierre Deligne; Gerhard Röhrle

    Let $W\subset \operatorname{GL}(V)$ be a complex reflection group and $\mathscr{A}(W)$ the set of the mirrors of the complex reflections in  $W$ . It is known that the complement $X(\mathscr{A}(W))$ of the reflection arrangement $\mathscr{A}(W)$ is a $K(\unicode[STIX]{x1D70B},1)$ space. For $Y$ an intersection of hyperplanes in $\mathscr{A}(W)$ , let $X(\mathscr{A}(W)^{Y})$ be the complement in $Y$

    更新日期:2020-02-06
  • Symplectic quotients have symplectic singularities
    Compos. Math. (IF 1.2) Pub Date : 2020-01-31
    Hans-Christian Herbig; Gerald W. Schwarz; Christopher Seaton

    Let $K$ be a compact Lie group with complexification $G$ , and let $V$ be a unitary $K$ -module. We consider the real symplectic quotient $M_{0}$ at level zero of the homogeneous quadratic moment map as well as the complex symplectic quotient, defined here as the complexification of $M_{0}$ . We show that if $(V,G)$ is $3$ -large, a condition that holds generically, then the complex symplectic quotient

    更新日期:2020-01-31
  • L-spaces, taut foliations, and graph manifolds
    Compos. Math. (IF 1.2) Pub Date : 2020-01-23
    Jonathan Hanselman; Jacob Rasmussen; Sarah Dean Rasmussen; Liam Watson

    If $Y$ is a closed orientable graph manifold, we show that $Y$ admits a coorientable taut foliation if and only if $Y$ is not an L-space. Combined with previous work of Boyer and Clay, this implies that $Y$ is an L-space if and only if $\unicode[STIX]{x1D70B}_{1}(Y)$ is not left-orderable.

    更新日期:2020-01-23
  • Matching of orbital integrals (transfer) and Roche Hecke algebra isomorphisms
    Compos. Math. (IF 1.2) Pub Date : 2020-01-21
    Bertrand Lemaire; Manish Mishra

    Let $F$ be a non-Archimedean local field, $G$ a connected reductive group defined and split over $F$ , and $T$ a maximal $F$ -split torus in $G$ . Let $\unicode[STIX]{x1D712}_{0}$ be a depth-zero character of the maximal compact subgroup $T$ of $T(F)$ . This gives by inflation a character $\unicode[STIX]{x1D70C}$ of an Iwahori subgroup $\unicode[STIX]{x2110}\subset T$ of $G(F)$ . From Roche [Types

    更新日期:2020-01-22
  • The homological projective dual of $\operatorname{Sym}^{2}\mathbb{P}(V)$
    Compos. Math. (IF 1.2) Pub Date : 2020-01-17
    Jørgen Vold Rennemo

    We study the derived category of a complete intersection $X$ of bilinear divisors in the orbifold $\operatorname{Sym}^{2}\mathbb{P}(V)$ . Our results are in the spirit of Kuznetsov’s theory of homological projective duality, and we describe a homological projective duality relation between $\operatorname{Sym}^{2}\mathbb{P}(V)$ and a category of modules over a sheaf of Clifford algebras on $\mathbb

    更新日期:2020-01-17
  • A Witt Nadel vanishing theorem for threefolds
    Compos. Math. (IF 1.2) Pub Date : 2020-01-13
    Yusuke Nakamura; Hiromu Tanaka

    In this paper, we establish a vanishing theorem of Nadel type for the Witt multiplier ideals on threefolds over perfect fields of characteristic larger than five. As an application, if a projective normal threefold over $\mathbb{F}_{q}$ is not klt and its canonical divisor is anti-ample, then the number of the rational points on the klt-locus is divisible by $q$ .

    更新日期:2020-01-13
  • Quantum mirrors of log Calabi–Yau surfaces and higher-genus curve counting
    Compos. Math. (IF 1.2) Pub Date : 2020-01-07
    Pierrick Bousseau

    Gross, Hacking and Keel have constructed mirrors of log Calabi–Yau surfaces in terms of counts of rational curves. Using $q$ -deformed scattering diagrams defined in terms of higher-genus log Gromov–Witten invariants, we construct deformation quantizations of these mirrors and we produce canonical bases of the corresponding non-commutative algebras of functions.

    更新日期:2020-01-07
  • Loose Engel structures
    Compos. Math. (IF 1.2) Pub Date : 2020-01-06
    Roger Casals; Álvaro del Pino; Francisco Presas

    This paper contributes to the study of Engel structures and their classification. The main result introduces the notion of a loose family of Engel structures and shows that two such families are Engel homotopic if and only if they are formally homotopic. This implies a complete $h$ -principle when auxiliary data is fixed. As a corollary, we show that Lorentz and orientable Cartan prolongations are

    更新日期:2020-01-06
  • Pin(2)-equivariant Seiberg–Witten Floer homology of Seifert fibrations
    Compos. Math. (IF 1.2) Pub Date : 2019-12-09
    Matthew Stoffregen

    We compute the $\text{Pin}(2)$ -equivariant Seiberg–Witten Floer homology of Seifert rational homology three-spheres in terms of their Heegaard Floer homology. As a result of this computation, we prove Manolescu’s conjecture that $\unicode[STIX]{x1D6FD}=-\bar{\unicode[STIX]{x1D707}}$ for Seifert integral homology three-spheres. We show that the Manolescu invariants $\unicode[STIX]{x1D6FC},\unicode[STIX]{x1D6FD}

    更新日期:2020-01-04
  • Belyi’s theorem in characteristic two
    Compos. Math. (IF 1.2) Pub Date : 2019-12-18
    Yusuke Sugiyama; Seidai Yasuda

    We prove an analogue of Belyi’s theorem in characteristic two. Our proof consists of the following three steps. We first introduce a new notion called pseudo-tameness for morphisms between curves over an algebraically closed field of characteristic two. Secondly, we prove the existence of a ‘pseudo-tame’ rational function by showing the vanishing of an obstruction class. Finally, we construct a tamely

    更新日期:2020-01-04
  • Cohomology of generalized configuration spaces
    Compos. Math. (IF 1.2) Pub Date : 2019-12-20
    Dan Petersen

    Let $X$ be a topological space. We consider certain generalized configuration spaces of points on $X$ , obtained from the cartesian product $X^{n}$ by removing some intersections of diagonals. We give a systematic framework for studying the cohomology of such spaces using what we call ‘twisted commutative dg algebra models’ for the cochains on $X$ . Suppose that $X$ is a ‘nice’ topological space, $R$

    更新日期:2020-01-04
  • Hausdorff dimension of divergent trajectories on homogeneous spaces
    Compos. Math. (IF 1.2) Pub Date : 2019-12-19
    Lifan Guan; Ronggang Shi

    For a one-parameter subgroup action on a finite-volume homogeneous space, we consider the set of points admitting divergent-on-average trajectories. We show that the Hausdorff dimension of this set is strictly less than the manifold dimension of the homogeneous space. As a corollary we know that the Hausdorff dimension of the set of points admitting divergent trajectories is not full, which proves

    更新日期:2020-01-04
  • Vanishing and comparison theorems in rigid analytic geometry
    Compos. Math. (IF 1.2) Pub Date : 2019-12-26
    David Hansen

    We prove a rigid analytic analogue of the Artin–Grothendieck vanishing theorem. Precisely, we prove (under mild hypotheses) that the geometric étale cohomology of any Zariski-constructible sheaf on any affinoid rigid space $X$ vanishes in all degrees above the dimension of $X$ . Along the way, we show that branched covers of normal rigid spaces can often be extended across closed analytic subsets,

    更新日期:2020-01-04
Contents have been reproduced by permission of the publishers.
导出
全部期刊列表>>
施普林格,自然编辑
ERIS期刊投稿
欢迎阅读创刊号
自然职场,为您触达千万科研人才
spring&清华大学出版社
城市可持续发展前沿研究专辑
Springer 纳米技术权威期刊征稿
全球视野覆盖
施普林格·自然新
chemistry
物理学研究前沿热点精选期刊推荐
自然职位线上招聘会
欢迎报名注册2020量子在线大会
化学领域亟待解决的问题
材料学研究精选新
GIANT
ACS ES&T Engineering
ACS ES&T Water
屿渡论文,编辑服务
ACS Publications填问卷
阿拉丁试剂right
苏州大学
林亮
南方科技大学
朱守非
胡少伟
有机所林亮
隐藏1h前已浏览文章
课题组网站
新版X-MOL期刊搜索和高级搜索功能介绍
ACS材料视界
上海纽约大学
浙江大学
廖矿标
天合科研
x-mol收录
试剂库存
down
wechat
bug