Equivariant Chow-Witt groups and moduli stacks of elliptic curves
Algebraic Geometry
2023-05-11 v2
Abstract
We introduce equivariant Chow-Witt groups in order to define Chow-Witt groups of quotient stacks. We compute the Chow-Witt ring of the moduli stack of stable (resp. smooth) elliptic curves, providing a geometric interpretation of the new generators. Along the way, we also determine the Chow-Witt ring of the classifying stack of .
Keywords
Cite
@article{arxiv.2107.02305,
title = {Equivariant Chow-Witt groups and moduli stacks of elliptic curves},
author = {Andrea Di Lorenzo and Lorenzo Mantovani},
journal= {arXiv preprint arXiv:2107.02305},
year = {2023}
}
Comments
Final version, to appear on Documenta Mathematica