The trace of an automorphism on H0(J,O(n))
Abstract
Let X be a smooth complex projective curve with a non trivial group of automorphisms G. Let J denote the Jacobian variety of X. Given h∈ G, our goal is to compute the trace of h on H0(J,O(n)) in order to decompose this space into a sum of the irreducible representations of G.
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