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The trace of an automorphism on H^0(J,O(n\Theta))

Israel Moreno Mejía
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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\in G, our goal is to compute the trace of h on H^0(J,O(n\Theta)) in order to decompose this space into a sum of the irreducible representations of G.

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Israel Moreno Mejía. 2004-10-27. The trace of an automorphism on H^0(J,O(n\Theta)). https://arxiv.org/abs/math/0410572

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