Chow ring of the stack of plane nodal curves
Algebraic Geometry
2025-01-10 v2 Algebraic Topology
Abstract
We compute the rational Chow ring of the moduli stack of planar nodal curves of fixed degree and express it in terms of tautological classes. Along the way, we extend Vial's results on Chow groups of Brauer-Severi varieties to -equivariant settings.
Keywords
Cite
@article{arxiv.2405.11943,
title = {Chow ring of the stack of plane nodal curves},
author = {Alessio Cela and Ajith Urundolil Kumaran and Xiaohan Yan},
journal= {arXiv preprint arXiv:2405.11943},
year = {2025}
}
Comments
Appendix by Alexis Aumonier. 26 pages, comments welcome!