English

On a formula for the equivariant Euler characteristic of a $G$-sheaf

Algebraic Geometry 2025-05-29 v2

Abstract

H. Fischbacher-Weitz and B. K\"ock computed the equivariant Euler characteristic of a GG-sheaf on a GG-curve XX over a field. Using a form of the Riemann-Roch theorem for quotient stacks proved by the second author we extend their computations to the cases where dim(X)>1dim(X) >1.

Keywords

Cite

@article{arxiv.2505.12367,
  title  = {On a formula for the equivariant Euler characteristic of a $G$-sheaf},
  author = {Qiangru Kuang and Francesco Sala},
  journal= {arXiv preprint arXiv:2505.12367},
  year   = {2025}
}