An introduction to the intersection theory of the moduli space of curves

Hannah Larson

An introduction to the intersection theory of the moduli space of curves

Algebraic Geometry 2026-07-01 v1

Authors: Hannah Larson

Abstract

We introduce the intersection theory of the moduli space of curves and its tautological ring. We survey open questions about the tautological ring and sketch techniques for proving the Chow ring is or is not generated by tautological classes.

Keywords

moduli space of curves intersection theory tautological ring Chow ring algebraic geometry

Cite

@article{arxiv.2607.01112,
  title  = {An introduction to the intersection theory of the moduli space of curves},
  author = {Hannah Larson},
  journal= {arXiv preprint arXiv:2607.01112},
  year   = {2026}
}