Riemann-Roch spaces of some Hurwitz curves
نویسندگان
چکیده
Let q > 1 denote an integer relatively prime to 2, 3, 7 and for which G = PSL(2, q) is a Hurwitz group for a smooth projective curve X defined over C. We compute the G-module structure of the RiemannRoch space L(D), where D is an invariant divisor on X of positive degree. This depends on a computation of the ramification module, which we give explicitly. In particular, we obtain the decomposition of H1(X,C) as a G-module.
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