$\mathbb{P}^2$上一维轴模的上同环的生成器

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2022-04-12 DOI:10.14231/ag-2023-017

Weite Pi, Junliang Shen

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引用次数: 1

摘要

研究了任意次$\mathbb{P}^2$上稳定的一维木条模空间上同调环的结构。我们得到了模空间上同调和Chow环的最优生成结果的最小同调生成集。我们的方法是通过对同义关系的几何研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Generators for the cohomology ring of the moduli of 1-dimensional sheaves on $\mathbb{P}^2$

We explore the structure of the cohomology ring of the moduli space of stable 1-dimensional sheaves on $\mathbb{P}^2$ 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.

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来源期刊

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.