The (almost) integral Chow ring of ${\tilde{\mathcal{M}}}_3^7$

Abstract

This paper is the third in a series of four papers aiming to describe the (almost integral) Chow ring of ${\overline{\mathcal{M}}}_3$, the moduli stack of stable curves of genus $3$. In this paper, we compute the Chow ring of ${\tilde{\mathcal{M}}}_3^7$ with $\mathbb{Z}[1/6]$-coefficients.

The paper is one of the four papers that compose the author's PhD thesis. In particular, it contains the entire Chapter 2 of arXiv:2211.09793. Some results have been corrected and the notation has been improved. 35 pages; comments are very welcome