当前位置: X-MOL 学术J. Algebraic Comb. › 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.)
Elliptic classes, McKay correspondence and theta identities
Journal of Algebraic Combinatorics ( IF 0.8 ) Pub Date : 2020-09-08 , DOI: 10.1007/s10801-020-00938-3
Małgorzata 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 \({\mathbb {C}}^n/G\), 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 \(A_n\) leads to a remarkable formula.



中文翻译:

椭圆类,McKay对应关系和theta身份

我们重新讨论了Borisov和Libgober给出的奇异代数形式的椭圆类的构造。假设环面作用,我们将理论调整为适合当地情况。我们研究具有几何原点的theta函数恒等式。在商奇异\({\ mathbb {C}} ^ n / G \)的情况下,其中G是有限组,theta身份源自McKay对应关系。辛奇点具有特殊意义。Du Val表面奇点\(A_n \)得出一个引人注目的公式。

更新日期:2020-09-08
down
wechat
bug