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arXiv · 2204.04553

Residues of connections and the Chevalley-Weil formula for curves

Donu Arapura
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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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Donu Arapura. 2022-04-09. Residues of connections and the Chevalley-Weil formula for curves. https://arxiv.org/abs/2204.04553

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