The Chow Ring of the Stack of Rational Curves with at most 3 Nodes

TL;DR

This paper explicitly computes the rational Chow ring of the stack of genus 0 nodal curves with up to 3 nodes, revealing its algebraic structure with specific generators and relations.

Contribution

It provides the first explicit description of the Chow ring for this class of algebraic stacks, detailing its generators and relations.

Findings

Chow ring has 10 generators and 11 relations.

The algebra is explicitly described over Q.

Provides foundational data for further geometric studies.

Abstract

In this paper we explicit the rational Chow ring of the stack consisting of nodal curves of genus 0 with at most 3 nodes: it is a Q-algebra with 10 generators and 11 relations.