On the structure of the algebra generated by the rational equivalence classes of Brill–Noether loci in the Chow ring of the moduli space of semistable bundles on elliptic curve

被引：0

作者：

Archana S. Morye

Arijit Mukherjee

机构：

[1] University of Hyderabad,School of Mathematics and Statistics

[2] Indian Institute of Science Education and Research Tirupati,Department of Mathematics

来源：

Indian Journal of Pure and Applied Mathematics | 2023年 / 54卷

关键词：

Brill–Noether loci; Chow ring; Elliptic curves; Vector bundles; Moduli spaces; 14C15; 14D20; 14H51; 14H52;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, our aim is to explicitly calculate the relations amongst the rational equivalence classes of Brill–Noether loci and describe the algebra generated by the same in the Chow ring of the moduli space of semistable bundles on elliptic curve. In general, the relations obtained are dependent on the degree of the embeddings involved. We also provide an example of a particular fixed determinant moduli space where the relations obtained are embedding independent.

引用

页码：49 / 57

页数：8

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