Elliptic classes, McKay correspondence and theta identities
Elliptic classes, McKay correspondence and theta identities
复制标题
椭圆类、麦凯对应和 theta 恒等式
DOI：
--
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发表时间：
2019
影响因子：
0.8
通讯作者：
Andrzej Weber
中科院分区：
文献类型：
--
作者：
M. Mikosz;Andrzej Weber
We revisit the construction of elliptic class given by Borisov and Libgober for singular algebraic varieties. Assuming torus action we adjust the theory to the equivariant local situation. We study theta function identities having a geometric origin. In the case of quotient singularities Cn/G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {C}}^n/G$$\end{document}, where G is a finite group the theta identities arise from McKay correspondence. The symplectic singularities are of special interest. The Du Val surface singularity An\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A_n$$\end{document} leads to a remarkable formula.
We revisit the construction of elliptic class given by Borisov and Libgober for singular algebraic varieties. Assuming torus action we adjust the theory to the equivariant local situation. We study theta function identities having a geometric origin. In the case of quotient singularities Cn/G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {C}}^n/G$$\end{document}, where G is a finite group the theta identities arise from McKay correspondence. The symplectic singularities are of special interest. The Du Val surface singularity An\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A_n$$\end{document} leads to a remarkable formula.
满旗簇余切丛的三维镜自对称
DOI：
10.3842/sigma.2019.093
发表时间：
2019
期刊：
Integrability and Geometry: Methods and Applications
影响因子：
--
作者：
Rimányi, Richárd;Smirnov, Andrey;Varchenko, Alexander;Zhou, Zijun
通讯作者：
Zhou, Zijun
椭圆和 K 理论稳定包络线和牛顿多面体
DOI：
10.1007/s00029-019-0451-5
发表时间：
2019
期刊：
Selecta Mathematica
影响因子：
--
作者：
Rimányi, R.;Tarasov, V.;Varchenko, A.
通讯作者：
Varchenko, A.
影响因子：
1.4
作者：
Kumar, Shrawan;Rimányi, Richárd;Weber, Andrzej
通讯作者：
Weber, Andrzej