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arXiv · 2505.12367

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

Qiangru Kuang·Francesco Sala
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Abstract

H. Fischbacher-Weitz and B. K\"ock computed the equivariant Euler characteristic of a $G-$sheaf on a $G$-curve $X$ 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 $dim(X) >1$.

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Qiangru Kuang, Francesco Sala. 2025-05-18. On a formula for the equivariant Euler characteristic of a $G$-sheaf. https://arxiv.org/abs/2505.12367

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