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

Weite Pi; Junliang Shen

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arXiv · 2204.05866

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

Weite Pi·Junliang Shen

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Abstract

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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Weite Pi, Junliang Shen. 2022-04-12. Generators for the cohomology ring of the moduli of one-dimensional sheaves on $\mathbb{P}^2$. https://arxiv.org/abs/2204.05866

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