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

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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