The trace of an automorphism on H^0(J,O(nΘ))

Details The trace of an automorphism on H^0(J,O(nΘ)) The trace of an automorphism on H^0(J,O(nΘ))

2004-10-27

arxiv.org/abs/math/0410572v2

Mathematics

Algebraic Geometry

The paper was withdrawn by the autor due to a copyright transfer agreement. The paper has been published in the Michigan Mathe

Scientific paper

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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