The (almost) integral Chow ring of \widetildeM₃⁷

2023/03/09 by Michele Pernice, Pernice, Michele
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2303.05493

openalex publication_date 2023/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is the third in a series of four papers aiming to describe the (almost integral) Chow ring of M₃, the moduli stack of stable curves of genus 3. In this paper, we compute the Chow ring of \widetildeM₃⁷ with ℤ[1/6]-coefficients.

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• The (almost) integral Chow ring of M₃
• A_r-stable curves and the Chow ring of M₃
• The integral Chow ring of M_1,3
• The Integral Chow Ring of M₂
• The integral Chow ring of M_1,n for n=3,…,10