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On a formula for the equivariant Euler characteristic of a $G$-sheaf (2505.12367v2)

Published 18 May 2025 in math.AG

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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