Group representations on Riemann-Roch spaces of some Hurwitz curves
Algebraic Geometry
2007-05-23 v1
Abstract
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 Riemann-Roch 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 H^1(X,C) as a G-module.
Keywords
Cite
@article{arxiv.math/0611547,
title = {Group representations on Riemann-Roch spaces of some Hurwitz curves},
author = {David Joyner and Amy Ksir and Roger Vogeler},
journal= {arXiv preprint arXiv:math/0611547},
year = {2007}
}
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26 pages