The Chow ring of the stack of cyclic covers of the projective line

TL;DR

This paper computes the integral Chow ring of the stack of smooth uniform cyclic covers of the projective line, providing explicit generators and advancing understanding of their algebraic structure.

Contribution

It introduces a detailed computation of the Chow ring for a specific class of algebraic stacks, including explicit generators, which was previously unknown.

Findings

Computed the integral Chow ring of the stack of smooth uniform cyclic covers

Provided explicit generators for the Chow ring

Enhanced understanding of the algebraic structure of these stacks

Abstract

In this paper we compute the integral Chow ring of the stack of smooth uniform cyclic covers of the projective line and we give explicit generators.