Group representations on Riemann-Roch spaces of some Hurwitz curves

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dc.creatorJoyner, David
dc.creatorKsir, Amy
dc.creatorVogeler, Roger
dc.date2006-11-17
dc.date.accessioned2026-07-07T07:33:04Z
dc.date.available2026-07-07T07:33:04Z
dc.descriptionLet 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.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0611547
dc.identifierhttp://arxiv.org/abs/math/0611547
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119332
dc.subjectAlgebraic Geometry
dc.subject14C20, 14F25
dc.titleGroup representations on Riemann-Roch spaces of some Hurwitz curves
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