Work

The Chow Ring of the Stack of Plane Nodal Curves

Year: 2025

Type: article

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.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnaf048

Authors: Alessio Cela, Ajith Urundolil Kumaran, Xiaohan Yan, Alexis Aumonier

Institutions: University of Cambridge, Centre National de la Recherche Scientifique, Université Paris Cité, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,534

OpenAlex ID: W4408296368

FWCI: 1.791

Cites: 22

Cited by: 1

Related to: 10