The Chow Ring of the Stack of Plane Nodal Curves
Abstract We compute the rational Chow ring of the moduli stacks of planar smooth and at worst 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 $G$-equivariant settings.
Authors
- Alexis Aumonier (ORCID: https://orcid.org/0000-0002-0280-3056)
- Alessio Cela (ORCID: https://orcid.org/0000-0003-3447-5533)
- Ajith Urundolil Kumaran (ORCID: https://orcid.org/0009-0004-8650-3537)
- Xiaohan Yan
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université Paris Cité (FR)
- University of Cambridge (GB)
- Institut de Mathématiques de Jussieu-Paris Rive Gauche (FR)
- Sorbonne Université (FR)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1093/imrn/rnaf048
- Citations
- 1
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 4.09