The (almost) integral Chow ring of ℳ̅<sub>3</sub>-Reference-Cited by-同舟云学术

The (almost) integral Chow ring of ℳ̅₃

Published:2024-06-04 Issue:0 Volume:0 Page:
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Pernice Michele¹^ORCID

Affiliation:

1. 7655 KTH , Room 1642, Lindstedtsvägen 25, 114 28 , Stockholm , Sweden

Abstract

Abstract This paper is the fourth in a series of four papers aiming to describe the (almost integral) Chow ring of M ̄ 3

\overline{\mathcal{M}}_{3}

, the moduli stack of stable curves of genus 3. In this paper, we finally compute the Chow ring of M ̄ 3

\overline{\mathcal{M}}_{3}

with Z ⁢ [ 1 / 6 ]

\mathbb{Z}[1/6]

-coefficients.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2024-0034/pdf

Reference22 articles.

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3. S. Canning and H. Larson, The Chow rings of the moduli spaces of curvesof genus 7, 8, and 9, J. Algebraic Geom. 33 (2024), 55–116.

4. A. Di Lorenzo, D. Fulghesu and A. Vistoli, The integral Chow ring of the stack of smooth non-hyperelliptic curves of genus three, Trans. Amer. Math. Soc. 374 (2021), no. 8, 5583–5622.

5. A. Di Lorenzo, M. Pernice and A. Vistoli, Stable cuspidal curves and the integral Chow ring of M ̄ 2 , 1 \overline{\mathscr{M}}_{2,1} , preprint (2021), https://arxiv.org/abs/2108.03680.

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