Residues of connections and the Chevalley–Weil formula for curves
Donu Arapura
Purdue University, West Lafayette, USA
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.
Cite this article
Donu Arapura, Residues of connections and the Chevalley–Weil formula for curves. Enseign. Math. 68 (2022), no. 3/4, pp. 291–306
DOI 10.4171/LEM/1030