English

The (almost) integral Chow ring of $\overline{\mathcal{M}}_3$

Algebraic Geometry 2023-03-27 v1

Abstract

This paper is the fourth in a series of four papers aiming to describe the (almost integral) Chow ring of M3\overline{\mathcal{M}}_3, the moduli stack of stable curves of genus 33. In this paper, we finally compute the Chow ring of M3\overline{\mathcal{M}}_3 with Z[1/6]\mathbb{Z}[1/6]-coefficients.

Keywords

Cite

@article{arxiv.2303.13614,
  title  = {The (almost) integral Chow ring of $\overline{\mathcal{M}}_3$},
  author = {Michele Pernice},
  journal= {arXiv preprint arXiv:2303.13614},
  year   = {2023}
}

Comments

The paper is the last of four papers that compose the author's PhD thesis. In particular, it contains the entire Chapter 3 of arXiv:2211.09793. Some results have been corrected and the notation has been improved. 37 pages; comments are very welcome