当前位置: X-MOL 学术Sb. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
A new series of moduli components of rank-2 semistable sheaves on ##IMG## [http://ej.iop.org/images/1064-5616/211/7/967/toc_MSB_211_7_967ieqn1.gif] {$ {\mathbb{P}}^{3}$} with singularities of mixed dimension
Sbornik: Mathematics ( IF 0.8 ) Pub Date : 2020-09-15 , DOI: 10.1070/sm9312
A. N. Ivanov 1
Affiliation  

We construct a new infinite series of irreducible components of the Gieseker-Maruyama moduli scheme ##IMG## [http://ej.iop.org/images/1064-5616/211/7/967/MSB_211_7_967ieqn2.gif] {$\mathscr{M}(k)$} , ##IMG## [http://ej.iop.org/images/1064-5616/211/7/967/MSB_211_7_967ieqn3.gif] {$k \geq 3$} , of semistable rank-2 sheaves on ##IMG## [http://ej.iop.org/images/1064-5616/211/7/967/MSB_211_7_967ieqn4.gif] {$\mathbb{P}^3$} with Chern classes ##IMG## [http://ej.iop.org/images/1064-5616/211/7/967/MSB_211_7_967ieqn5.gif] {$c_1=0$} , ##IMG## [http://ej.iop.org/images/1064-5616/211/7/967/MSB_211_7_967ieqn6.gif] {$c_2=k$} and ##IMG## [http://ej.iop.org/images/1064-5616/211/7/967/MSB_211_7_967ieqn7.gif] {$c_3=0$} , whose general points are sheaves with singularities of mixed dimension. These sheaves are constructed by elementary transformations of stable and properly ...

中文翻译:

## IMG ## [http://ej.iop.org/images/1064-5616/211/7/967/toc_MSB_211_7_967ieqn1.gif]上的2级半稳定滑轮的模量分量系列{P}} ^ {3} $},具有混合奇异点

我们构造了Gieseker-Maruyama模方案## IMG ## [http://ej.iop.org/images/1064-5616/211/7/967/MSB_211_7_967ieqn2.gif] {$ \ mathscr {M}(k)$},## IMG ## [http://ej.iop.org/images/1064-5616/211/7/967/MSB_211_7_967ieqn3.gif] {$ k \ geq 3 $ },位于## IMG ##上的半稳定2级滑轮[http://ej.iop.org/images/1064-5616/211/7/967/MSB_211_7_967ieqn4.gif] {$ \ mathbb {P} ^ 3 $}和Chern类## IMG ## [http://ej.iop.org/images/1064-5616/211/7/967/MSB_211_7_967ieqn5.gif] {$ c_1 = 0 $},## IMG ## [http://ej.iop.org/images/1064-5616/211/7/967/MSB_211_7_967ieqn6.gif] {$ c_2 = k $}和## IMG ## [http://ej.iop.org /images/1064-5616/211/7/967/MSB_211_7_967ieqn7.gif] {$ c_3 = 0 $},其一般点是具有混合维奇点的滑轮。这些滑轮是通过稳定而适当地进行基础变换而构成的。
更新日期:2020-09-16
down
wechat
bug