Generators for the cohomology ring of the moduli of 1-dimensional sheaves on P2

被引：4
作者：
Pi, Weite [1 ]
Shen, Junliang [1 ]
机构：
[1] Yale Univ, Dept Math, New Haven, CT 06520 USA
来源：
ALGEBRAIC GEOMETRY | 2023年 / 10卷 / 04期
关键词：
cohomology and Chow rings; generators; moduli of sheaves; PLANE SHEAVES; SEMISTABLE SHEAVES; STABLE SHEAVES; HILBERT SCHEME; CHOW RING; SPACES; DUALITY; GEOMETRY;
D O I：
10.14231/AG-2023-017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We explore the structure of the cohomology ring of the moduli space of stable 1-dimensional sheaves on P-2 of any degree. We obtain a minimal set of tautological generators, which implies an optimal generation result for both the cohomology and the Chow ring of the moduli space. Our approach is through a geometric study of tautological relations.
引用
收藏
页码：504 / 520
页数：17
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