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arxiv: math/0312383 · v1 · submitted 2003-12-19 · 🧮 math.AG

Representations of finite groups on Riemann-Roch spaces, II

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keywords finiteriemann-rochassumptionautomorphismcomputecurvedivisorformula
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If G is a finite subgroup of the automorphism group of a projective curve X and D is a divisor on X stabilized by G, then under the assumption that D is nonspecial, we compute a simplified formula for the trace of the natural representation of G on Riemann-Roch space L(D).

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