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Residues of connections and the Chevalley-Weil formula for curves

Published 9 Apr 2022 in math.AG | (2204.04553v1)

Abstract: Given a finite group of automorphisms of a compact Riemann surface, the Chevalley-Weil formula computes the character valued Euler characteristic of an equivariant line bundle. The goal of this article is to give a proof by computing using residues of a Gauss-Manin connection.

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