• Math. Z. (IF 0.881) Pub Date : 2020-07-15
Ananth N. Shankar, Rong Zhou

We study the formal neighbourhood of a point in the $$\mu$$-ordinary locus of an integral model of a Hodge type Shimura variety. We show that this formal neighbourhood has a structure of a “shifted cascade”. Moreover we show that the CM points on the formal neighbourhood are dense and that the identity section of the shifted cascade corresponds to a lift of the abelian variety which has a characterization

更新日期：2020-07-15
• Math. Z. (IF 0.881) Pub Date : 2020-07-15
Liuyang Zhang

In this paper, we study Lagrangian surfaces satisfying $$\nabla ^*T=0$$ , where $$T=-2\nabla ^*(\check{A}\lrcorner \omega )$$ and $$\check{A}$$ is the Lagrangian trace-free second fundamental form. We obtain a gap lemma for such a Lagrangian surface.

更新日期：2020-07-15
• Math. Z. (IF 0.881) Pub Date : 2020-07-13
Shiquan Ruan, Xintian Wang

The present paper focuses on the study of t-stabilities on a triangulated category in the sense of Gorodentsev, Kuleshov and Rudakov. We give an equivalent description for the finest t-stabilities on certain triangulated category and, describe the semistable subcategories and last HN-triangles for coherent sheaves in $$D^b(\mathrm{coh\,}{{\mathbb {X}}})$$, which is the bounded derived category of coherent

更新日期：2020-07-13
• Math. Z. (IF 0.881) Pub Date : 2020-07-12
Ljudevit Palle

In their work Ikromov and Müller (Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra. Princeton University Press, Princeton, 2016) proved the full range $$L^p-L^2$$ Fourier restriction estimates for a very general class of hypersurfaces in $${\mathbb {R}}^3$$ which includes the class of real analytic hypersurfaces. In this article we partly extend their results to the mixed

更新日期：2020-07-13
• Math. Z. (IF 0.881) Pub Date : 2020-07-11
Caiyan Li

In this paper, we derive that every n-dimensional ($$2\le n\le 7$$) special Lagrangian cones in $${\mathbb {R}}^{n}\times {\mathbb {R}}^{n}$$ with flat normal bundle must be flat. And we also derive a rigidity result under a certain restriction on Gauss map.

更新日期：2020-07-13
• Math. Z. (IF 0.881) Pub Date : 2020-07-09
Jan Hendrik Bruinier, Markus Schwagenscheidt

We evaluate regularized theta lifts for Lorentzian lattices in three different ways. In particular, we obtain formulas for their values at special points involving coefficients of mock theta functions. By comparing the different evaluations, we derive recurrences for the coefficients of mock theta functions, such as Hurwitz class numbers, Andrews’ spt-function, and Ramanujan’s mock theta functions

更新日期：2020-07-09
• Math. Z. (IF 0.881) Pub Date : 2020-07-08
Petar Bakić, Marcela Hanzer

In this paper we give the description of generic representations of metaplectic groups over p-adic fields in terms of their Langlands parameters and calculate their theta lifts on all levels for any tower of odd orthogonal groups. We also describe precisely all the occurrences of the failure of the standard module conjecture for metaplectic groups.

更新日期：2020-07-08
• Math. Z. (IF 0.881) Pub Date : 2020-07-08
An-Min Li, Li Sheng

Let f be a smooth plurisubharmonic function which solves \begin{aligned} \det (f_{i\bar{\jmath }})=1\;\;\;\;\;\;\text{ on } \;\;\;\mathbb C^n. \end{aligned} Suppose that the metric $$\omega _{f}=\sqrt{-1}f_{i\bar{\jmath }}dz_{i}\wedge d\bar{z}_{j}$$ is complete and f satisfies the growth condition \begin{aligned} \mathsf N_{0}^{-1}(1+|z|^2)\le f\le \mathsf N_{0}(1+ |z|^2),\;\;\;\; \text{ as }\;\;\; 更新日期：2020-07-08 • Math. Z. (IF 0.881) Pub Date : 2020-07-04 Mohamed Saïdi Let X be a proper, smooth, and geometrically connected curve of genus $$g(X)\ge 1$$ over a p-adic local field. We prove that there exists an effectively computable open affine subscheme $$U\subset X$$ with the property that $${\text {period}}(X)=1$$, and $${\text {index}}(X)$$ equals 1 or 2 (resp. $${\text {period}}(X)={\text {index}}(X)=1$$, assuming $${\text {period}}(X)={\text {index}}(X)$$), if 更新日期：2020-07-05 • Math. Z. (IF 0.881) Pub Date : 2020-07-04 Nicolas Addington, Andrew Wray Bridgeland and Maciocia showed that a complex Enriques surface X has no Fourier–Mukai partners apart from itself: that is, if $$D^b(X) \cong D^b(Y)$$ then $$X \cong Y$$. We extend this to twisted Fourier–Mukai partners: if $$\alpha$$ is the non-trivial element of $${{\,\mathrm{Br}\,}}(X) = {\mathbb {Z}}/2$$ and $$D^b(X,\alpha ) \cong D^b(Y,\beta )$$, then $$X \cong Y$$ and $$\beta$$ is non-trivial 更新日期：2020-07-05 • Math. Z. (IF 0.881) Pub Date : 2020-07-03 Dor Mezer Let $${\mathbb {F}}$$ be a non-archimedean local field of characteristic different from 2. We consider distributions on $$\mathrm {GL}(n+1,{\mathbb {F}})$$ which are invariant under the adjoint action of $$\mathrm {GL}(n,{\mathbb {F}})$$. We prove that any such distribution is invariant under transposition. This implies that the restriction to $$\mathrm {GL}(n,{{\mathbb {F}}})$$ of any irreducible 更新日期：2020-07-03 • Math. Z. (IF 0.881) Pub Date : 2020-07-03 Chuanfang Ge, Jiansheng Geng, Zhaowei Lou In the present paper, we prove an infinite dimensional reversible Kolmogorov-Arnold-Moser (KAM) theorem. As an application, we study the existence of KAM tori for a class of two dimensional (2D) non-Hamiltonian completely resonant beam equations with derivative nonlinearities. The Birkhoff normal form theory is also used since there are no external parameters in the equations. 更新日期：2020-07-03 • Math. Z. (IF 0.881) Pub Date : 2020-07-03 Jinshou Gao, Zhangjian Hu Suppose D is a bounded strongly pseudoconvex domain in $${{\mathbb {C}}}^n$$ with smooth boundary, and let $$\rho$$ be its defining function. For $$1< p<\infty$$ and $$\alpha >-1$$, we show that the weighted Bergman projection $$P_\alpha$$ is bounded on $$L^p(D, |\rho |^\alpha dV)$$. With non-isotropic estimates for $$\overline{\partial }$$ and Stein’s theorem on non-tangential maximal operators 更新日期：2020-07-03 • Math. Z. (IF 0.881) Pub Date : 2020-07-03 Tak Wing Ching, Kai Man Tsang It is widely conjectured that every sufficiently large integer satisfying certain necessary congruence conditions is the sum of 4 cubes of prime numbers. As an approximation to this conjecture, we shall establish two results in this paper. Firstly, we show that every large odd integer is the sum of a prime, 4 cubes of primes and 15 powers of 2. Secondly, we show that the conjecture is true for at least 更新日期：2020-07-03 • Math. Z. (IF 0.881) Pub Date : 2020-07-02 Qun Chen, Linlin Sun In this note, we prove conformal lower bounds for Dirac operators of submanifolds in terms of conformal and extrinsic quantities. 更新日期：2020-07-02 • Math. Z. (IF 0.881) Pub Date : 2020-07-02 Alexander Perry Given a finite group action on a (suitably enhanced) triangulated category linear over a field, we establish a formula for the Hochschild cohomology of the category of invariants, assuming the order of the group is coprime to the characteristic of the base field. The formula shows that the cohomology splits canonically with one summand given by the invariant subspace of the Hochschild cohomology of 更新日期：2020-07-02 • Math. Z. (IF 0.881) Pub Date : 2020-07-02 Enrique Chávez-Martínez, Daniel Duarte, Arturo Giles Flores We introduce a higher-order version of the tangent map of a morphism and find a matrix representation. We then apply this matrix to solve a conjecture by Yasuda regarding the semigroup of the higher Nash blowup of formal curves. We first show that the conjecture is true for toric curves. We conclude by exhibiting a family of non-monomial curves where the conjecture fails. 更新日期：2020-07-02 • Math. Z. (IF 0.881) Pub Date : 2020-07-01 Christopher Daw, Alexander Gorodnik, Emmanuel Ullmo We conjecture that the set of homogeneous probability measures on the maximal Satake compactification of an arithmetic locally symmetric space $$S=\Gamma \backslash G/K$$ is compact. More precisely, given a sequence of homogeneous probability measures on S, we expect that any weak limit is homogeneous with support contained in precisely one of the boundary components (including S itself). We introduce 更新日期：2020-07-01 • Math. Z. (IF 0.881) Pub Date : 2020-07-01 Godofredo Iommi, Anibal Velozo We study suspension flows defined over sub-shifts of finite type with continuous roof functions. We prove the existence of suspension flows with uncountably many ergodic measures of maximal entropy. More generally, we prove that any suspension flow defined over a sub-shift of finite type can be perturbed (by an arbitrarily small perturbation) so that the resulting flow has uncountably many ergodic 更新日期：2020-07-01 • Math. Z. (IF 0.881) Pub Date : 2020-07-01 Doowon Koh, Thang Pham, Chun-Yen Shen, Le Anh Vinh We study a variant of the Erdős–Falconer distance problem in the setting of finite fields. More precisely, let E and F be sets in $$\mathbb {F}_q^d$$, and $$\Delta (E), \Delta (F)$$ be corresponding distance sets. We prove that if $$|E||F|\ge Cq^{d+\frac{1}{3}}$$ for a sufficiently large constant C, then the set $$\Delta (E)+\Delta (F)$$ covers at least a half of all distances. Our result in odd dimensional 更新日期：2020-07-01 • Math. Z. (IF 0.881) Pub Date : 2020-07-01 Paul Sobaje Let G be a simple algebraic group over an algebraically closed field of prime characteristic. If M is a finite dimensional G-module that is projective over the Frobenius kernel of G, then its character is divisible by the character of the Steinberg module. In this paper we study such quotients, showing that if M is an indecomposable tilting module, then the multiplicities of the orbit sums appearing 更新日期：2020-07-01 • Math. Z. (IF 0.881) Pub Date : 2020-07-01 Tong Zhou, Wen-Xin Qin By introducing for monotone recurrence relations pseudo solutions, which are analogues of pseudo orbits of dynamical systems, we show that for general monotone recurrence relations the rotation set is closed, and each element in the rotation set is realized by a Birkhoff orbit. Moreover, if there is an orbit without rotation number, then the system has positive topological entropy, and we can construct 更新日期：2020-07-01 • Math. Z. (IF 0.881) Pub Date : 2020-06-30 Bo-Yong Chen, Xu Wang Based on Harnack’s inequality and convex analysis we show that each plurisubharmonic function is locally BUO (bounded upper oscillation) with respect to polydiscs of finite type but not for arbitrary polydiscs. We also show that each function in the Lelong class is globally BUO with respect to all polydiscs. A dimension-free BUO estimate is obtained for the logarithm of the modulus of a complex polynomial 更新日期：2020-06-30 • Math. Z. (IF 0.881) Pub Date : 2020-06-30 Andrea Tamburelli In this paper we combine our recent work on regular globally hyperbolic maximal anti-de Sitter structures with the classical theory of globally hyperbolic maximal Cauchy-compact anti-de Sitter manifolds in order to define an augmented moduli space. Moreover, we introduce a coordinate system in this space that resembles the complex Fenchel–Nielsen coordinates for hyperbolic quasi-Fuchsian manifolds 更新日期：2020-06-30 • Math. Z. (IF 0.881) Pub Date : 2020-06-24 Anders Björn, Jana Björn, Nageswari Shanmugalingam We show that, under certain geometric conditions, there are no nonconstant quasiminimizers with finite pth power energy in a (not necessarily complete) metric measure space equipped with a globally doubling measure supporting a global $$p$$-Poincaré inequality. The geometric conditions are that either (a) the measure has a sufficiently strong volume growth at infinity, or (b) the metric space is annularly 更新日期：2020-06-25 • Math. Z. (IF 0.881) Pub Date : 2020-06-19 Francesca Aicardi, Jesús Juyumaya In the original publication, there are missing symbols in Theorem 1 and two missing lines in Theorem 3 (cf. https://arxiv.org/pdf/1607.04841v5.pdf). 更新日期：2020-06-22 • Math. Z. (IF 0.881) Pub Date : 2020-06-16 Yuxiang Li, Zhipeng Zhou Let (M, g) be a smooth compact Riemiannian manifold without boundary and $$g_k$$ be a metric conformal to g. Suppose $$\text{ vol }(M,g_k)+\Vert R_k\Vert _{L^p(M,g_k)}\frac{n}{2}$$. We will use the 3-circles theorem to study the bubble tree convergence of $$g_k$$. 更新日期：2020-06-16 • Math. Z. (IF 0.881) Pub Date : 2020-06-16 Yuanqing Cai We describe the twisted doubling integrals of Cai–Friedberg–Ginzburg–Kaplan in a conceptual way. This also extends the construction to the quaternionic unitary groups. We carry out the unfolding argument uniformly in this article. To do so, we define a family of degenerate Whittaker coefficients that are suitable in this setup and study some of their properties. We also prove certain related global 更新日期：2020-06-16 • Math. Z. (IF 0.881) Pub Date : 2020-06-15 Bin Xu Arthur classified the discrete automorphic representations of symplectic and orthogonal groups over a number field by that of the general linear groups. In this classification, those that are not from endoscopic lifting correspond to pairs $$(\phi , b)$$, where $$\phi$$ is an irreducible unitary cuspidal automorphic representation of some general linear group and b is an integer. In this paper, we 更新日期：2020-06-15 • Math. Z. (IF 0.881) Pub Date : 2020-06-15 Christy Hazel A surface with an involution can be viewed as a $$C_2$$-space where $$C_2$$ is the cyclic group of order two. Up to equivariant isomorphism, all involutions on surfaces were classified in Bujalance et al. (Math Z 211:461–478, 1992) and recently classified using equivariant surgery in Dugger (J Homotopy Relat Struct 14(4):919–992, 2019). We use the classification given in Dugger (2019) to compute the 更新日期：2020-06-15 • Math. Z. (IF 0.881) Pub Date : 2020-06-13 David Hansen, Shizhang Li We prove several related results on the low-degree Hodge numbers of proper smooth rigid analytic varieties over non-archimedean fields. Our arguments rely on known structure theorems for the relevant Picard varieties, together with recent advances in p-adic Hodge theory. We also define a rigid analytic Albanese naturally associated with any smooth proper rigid space. 更新日期：2020-06-13 • Math. Z. (IF 0.881) Pub Date : 2020-06-10 Alex Fink, Karola Mészáros, Avery St. Dizier We prove that if $$\sigma \in S_m$$ is a pattern of $$w \in S_n$$, then we can express the Schubert polynomial $$\mathfrak {S}_w$$ as a monomial times $$\mathfrak {S}_\sigma$$ (in reindexed variables) plus a polynomial with nonnegative coefficients. This implies that the set of permutations whose Schubert polynomials have all their coefficients equal to either 0 or 1 is closed under pattern containment 更新日期：2020-06-10 • Math. Z. (IF 0.881) Pub Date : 2020-06-09 Boris Doubrov, Alexandr Medvedev, Dennis The We classify all (locally) homogeneous Levi non-degenerate real hypersurfaces in $${{\mathbb {C}}}^3$$ with symmetry algebra of dimension $$\ge 6$$. 更新日期：2020-06-09 • Math. Z. (IF 0.881) Pub Date : 2020-06-08 Daniel Barlet, Teresa Monteiro Fernandes We introduce new complex analytic integral transforms, the Lisbon Integrals, which naturally arise in the study of the affine space $$\mathbb {C}^k$$ of unitary polynomials $$P_s(z)$$ where $$s\in \mathbb {C}^k$$ and $$z\in \mathbb {C}$$, $$s_i$$ identified to the i-th symmetric function of the roots of $$P_s(z)$$. We completely determine the $$\mathscr {D}$$-modules (or systems of partial differential 更新日期：2020-06-08 • Math. Z. (IF 0.881) Pub Date : 2020-06-08 Shih-Yu Chen We prove an equality between the gamma factors for the Asai cube representation of $$\mathrm{R}_{E/F}\mathrm{{GL}}_2$$ defined by the Weil–Deligne representations and by the local zeta integrals of Ikeda and Piatetski-Shapiro–Rallis, where E is an étale cubic algebra over a local field F of characteristic zero. 更新日期：2020-06-08 • Math. Z. (IF 0.881) Pub Date : 2020-06-05 Allan Greenleaf, Alex Iosevich, Sevak Mkrtchyan We prove the existence of similar and multi-similar point configurations (or simplexes) in sets of fractional Hausdorff dimension in Euclidean space. Let $$d \ge 2$$ and $$E\subset {{{\mathbb {R}}} }^d$$ be a compact set. For $$k\ge 1$$, define\begin{aligned} \Delta _k(E)=\left\{ \left( |x^1-x^2|, \dots , |x^i-x^j|,\dots , |x^k-x^{k+1}|\right) : \left\{ x^i\right\} _{i=1}^{k+1}\subset E\right\}

更新日期：2020-06-05
• Math. Z. (IF 0.881) Pub Date : 2020-06-05
Dongwen Liu, Zhicheng Wang

In this paper we study the Gan–Gross–Prasad problem for unitary groups over finite fields. Our results provide complete answers for unipotent representations, and we obtain the explicit branching of these representations.

更新日期：2020-06-05
• Math. Z. (IF 0.881) Pub Date : 2020-06-05
T. Anderson, K. Hughes, J. Roos, A. Seeger

Let $$f\in L^p({\mathbb {R}}^d)$$, $$d\ge 3$$, and let $$A_t f(x)$$ be the average of f over the sphere with radius t centered at x. For a subset E of [1, 2] we prove close to sharp $$L^p\rightarrow L^q$$ estimates for the maximal function $$\sup _{t\in E} |A_t f|$$. A new feature is the dependence of the results on both the upper Minkowski dimension of E and the Assouad dimension of E. The result

更新日期：2020-06-05
• Math. Z. (IF 0.881) Pub Date : 2020-06-05
Sondre Kvamme

For an exact category $${{\mathcal {E}}}$$ with enough projectives and with a $$d\mathbb {Z}$$-cluster tilting subcategory, we show that the singularity category of $${{\mathcal {E}}}$$ admits a $$d\mathbb {Z}$$-cluster tilting subcategory. To do this we introduce cluster tilting subcategories of left triangulated categories, and we show that there is a correspondence between cluster tilting subcategories

更新日期：2020-06-05
• Math. Z. (IF 0.881) Pub Date : 2020-06-04
Sheng Rao, Yongpan Zou

We give a new Tian–Todorov lemma on deformations of CR-structures and use it to reprove the deformation unobstructedness of normal compact strongly pseudoconvex CR-manifold under the assumption of $$d'd''$$-lemma, more faithfully following Tian–Todorov’s approach.

更新日期：2020-06-04
• Math. Z. (IF 0.881) Pub Date : 2020-06-03
Haifeng Shang, Jiahong Wu

The magneto-micropolar equations are important models in fluid mechanics and material sciences. This paper focuses on the global regularity problem on the 2D magneto-micropolar equations with fractional dissipation. We establish the global regularity for three important fractional dissipation cases. Direct energy estimates are not sufficient to obtain the desired global a priori bounds in each case

更新日期：2020-06-03
• Math. Z. (IF 0.881) Pub Date : 2020-06-03
Jinsong Liu, Hongyu Wang

In this paper we introduce a new class of domains— log-type convex domains, which have no boundary regularity assumptions. Then we will localize the Kobayashi metric in log-type convex subdomains. As an application, we prove a local version of continuous extension of rough isometric maps between two bounded domains with log-type convex Dini-smooth boundary points. Moreover we prove that the Teichmüller

更新日期：2020-06-03
• Math. Z. (IF 0.881) Pub Date : 2020-06-03
Jihun Yum

We characterize the Diederich–Fornæss index and the Steinness index in terms of a special 1-form, which we call D’Angelo 1-form. We then prove that the Diederich–Fornæss and Steinness indices are invariant under CR-diffeomorphisms by showing CR-invariance of D’Angelo 1-forms.

更新日期：2020-06-03
• Math. Z. (IF 0.881) Pub Date : 2020-04-13
Henning Krause

This note proposes a new method to complete a triangulated category, which is based on the notion of a Cauchy sequence. We apply this to categories of perfect complexes. It is shown that the bounded derived category of finitely presented modules over a right coherent ring is the completion of the category of perfect complexes. The result extends to non-affine noetherian schemes and gives rise to a

更新日期：2020-04-13
• Math. Z. (IF 0.881) Pub Date : 2020-04-10
Martin Leguil, Davi Obata, Bruno Santiago

In this paper we study the problem of knowing when the centralizer of a vector field is “small”. We obtain several criteria that imply different types of “small” centralizers, namely collinear, quasi-trivial and trivial. There are two types of results in the paper: general dynamical criteria that imply one of the “small” centralizers above; and genericity results about the centralizer. Some of our

更新日期：2020-04-10
• Math. Z. (IF 0.881) Pub Date : 2020-04-08
Christoph Goldner

We enumerate rational curves in toric surfaces passing through points and satisfying cross-ratio constraints using tropical and combinatorial methods. Our starting point is (Tyomkin in Adv Math 305:1356–1383, 2017), where a tropical-algebraic correspondence theorem was proved that relates counts of rational curves in toric varieties that satisfy point conditions and cross-ratio constraints to the analogous

更新日期：2020-04-08
• Math. Z. (IF 0.881) Pub Date : 2020-04-06
Chih-Whi Chen, Kevin Coulembier, Volodymyr Mazorchuk

We prove that the tensor product of a simple and a finite dimensional $${\mathfrak {sl}}_n$$-module has finite type socle. This is applied to reduce classification of simple $${\mathfrak {q}}(n)$$-supermodules to that of simple $${\mathfrak {sl}}_n$$-modules. Rough structure of simple $${\mathfrak {q}}(n)$$-supermodules, considered as $${\mathfrak {sl}}_n$$-modules, is described in terms of the combinatorics

更新日期：2020-04-06
• Math. Z. (IF 0.881) Pub Date : 2020-04-04
Alexander Pavlov

We show that for maximal Cohen–Macaulay modules over the homogeneous coordinate ring of a smooth Calabi–Yau varieties X, the computation of Betti numbers can be reduced to computations of dimensions of certain $${\text {Hom}}$$ spaces in the bounded derived category $$D^b(X)$$. In the simplest case of a smooth elliptic curve E embedded in $${\mathbb {P}}^2$$ as a smooth cubic, we get explicit values

更新日期：2020-04-04
• Math. Z. (IF 0.881) Pub Date : 2020-04-04

Let $${\mathfrak {g}}$$ be a semisimple complex Lie algebra, and let W be a finite subgroup of $${\mathbb {C}}$$-algebra automorphisms of the enveloping algebra $$U({\mathfrak {g}})$$. We show that the derived category of $$U({\mathfrak {g}})^W$$-modules determines isomorphism classes of both $${\mathfrak {g}}$$ and W. Our proofs are based on the geometry of the Zassenhaus variety of the reduction

更新日期：2020-04-04
• Math. Z. (IF 0.881) Pub Date : 2020-04-03
Wolfram Bauer, Kenro Furutani, Chisato Iwasaki, Abdellah Laaroussi

We determine the spectrum of the sub-Laplacian on pseudo H-type nilmanifolds and present pairs of isospectral but non-homeomorphic nilmanifolds with respect to the sub-Laplacian. We observe that these pairs are also isospectral with respect to the Laplacian. More generally, our method allows us to construct an arbitrary number of isospectral but mutually non-homeomorphic nilmanifolds. Finally, we present

更新日期：2020-04-03
• Math. Z. (IF 0.881) Pub Date : 2020-04-02
Rune Harder Bak

In this paper, we define what it means for an object in an abstract module category to be dualizable and we give a homological description of the direct limit closure of the dualizable objects. Our description recovers existing results of Govorov and Lazard, Oberst and Röhrl, and Christensen and Holm. When applied to differential graded modules over a differential graded algebra, our description yields

更新日期：2020-04-02
• Math. Z. (IF 0.881) Pub Date : 2020-04-02
Christian Vilsmeier

Let X be a proper algebraic variety over a non-archimedean, non-trivially valued field. We show that the non-archimedean Monge–Ampère measure of a metric arising from a convex function on an open face of some skeleton of $$X^{an }$$ is equal to the real Monge–Ampère measure of that function up to multiplication by a constant. As a consequence we obtain a regularity result for solutions of the non-archimedean

更新日期：2020-04-02
• Math. Z. (IF 0.881) Pub Date : 2019-12-05
Emilia Blåsten, Leo Tzou, Jenn-Nan Wang

In this paper we consider the inverse boundary value problem for the Schrödinger equation with potential in $$L^p$$ class, $$p>4/3$$. We show that the potential is uniquely determined by the boundary measurements.

更新日期：2019-12-05
• Math. Z. (IF 0.881) Pub Date : 2019-11-22
Gabriel Fuhrmann, Maik Gröger

We show how geometric methods from the general theory of fractal dimensions and iterated function systems can be deployed to study symbolic dynamics in the zero entropy regime. More precisely, we establish a dimensional characterization of the topological notion of amorphic complexity. For subshifts with discrete spectrum associated to constant length substitutions, this characterization allows us

更新日期：2019-11-22
• Math. Z. (IF 0.881) Pub Date : 2019-11-18
B. Guillou, C. Yarnall

We describe the slices of positive integral suspensions of the equivariant Eilenberg–MacLane spectrum $$H\underline{{\mathbb {F}}_2}$$ for the constant Mackey functor over the Klein four-group $$C_2\times C_2$$.

更新日期：2019-11-18
• Math. Z. (IF 0.881) Pub Date : 2019-11-15
Dino Lorenzini, Stefan Schröer

In characteristic 2 and dimension 2, wild $${\mathbb Z}/2{{\mathbb {Z}}}$$-actions on k[[u, v]] ramified precisely at the origin were classified by Artin, who showed in particular that they induce hypersurface singularities. We introduce in this article a new class of wild quotient singularities in any characteristic $$p>0$$ and dimension $$n\ge 2$$ arising from certain non-linear actions of $${\mathbb 更新日期：2019-11-15 • Math. Z. (IF 0.881) Pub Date : 2019-11-13 Chiara Damiolini The aim of this paper is to generalize the notion of conformal blocks to the situation in which the Lie algebra they are attached to is replaced with a sheaf of Lie algebras depending on covering data of curves. The result is a vector bundle of finite rank on the stack \({\overline{{\mathcal {H}}\text {ur}}(\Gamma ,\xi )_{g, n}}$$ parametrizing $$\Gamma$$-coverings of curves. Many features of the

更新日期：2019-11-13
• Math. Z. (IF 0.881) Pub Date : 2019-11-11
Dominik Dier, Jukka Kemppainen, Juhana Siljander, Rico Zacher

We settle the open question concerning the Harnack inequality for globally positive solutions to non-local in time diffusion equations by constructing a counter-example for dimensions $$d\ge \beta$$, where $$\beta \in (0,2]$$ is the order of the equation with respect to the spatial variable. The equation can be non-local both in time and in space but for the counter-example it is important that the

更新日期：2019-11-11
• Math. Z. (IF 0.881) Pub Date : 2019-11-08
Daniele Angella, Simone Calamai, Cristiano Spotti

We study some basic properties and examples of Hermitian metrics on complex manifolds whose traces of the curvature of the Chern connection are proportional to the metric itself.

更新日期：2019-11-08
• Math. Z. (IF 0.881) Pub Date : 2019-11-07
Rosanna Laking

We study t-structures with Grothendieck hearts on compactly generated triangulated categories $${\mathcal {T}}$$ that are underlying categories of strong and stable derivators. This setting includes all algebraic compactly generated triangulated categories. We give an intrinsic characterisation of pure triangles and the definable subcategories of $${\mathcal {T}}$$ in terms of directed homotopy colimits

更新日期：2019-11-07
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