The integral Chow ring of $\mathcal{R}_2$

TL;DR

This paper computes the integral Chow ring of the moduli stack of Prym pairs of genus 2, providing a detailed algebraic description of its intersection theory with integral coefficients.

Contribution

It presents the first explicit computation of the integral Chow ring for the moduli stack of Prym pairs of genus 2, advancing understanding of its algebraic structure.

Findings

Explicit description of the integral Chow ring of al R_2

New algebraic relations in the Chow ring of Prym moduli

Foundation for further intersection theory studies on Prym stacks

Abstract

In this paper we compute the integral Chow ring of the moduli stack $\mathcal{R}_2$ of Prym pairs of genus 2 with integral coefficients.