Torsion of Drinfeld modules and equicharacteristic unimodular Galois covers

dc.creatorCornelissen, Gunther
dc.creatorTripolitaki, Marina
dc.date2002-09-03
dc.date.accessioned2026-07-07T04:50:34Z
dc.date.available2026-07-07T04:50:34Z
dc.descriptionWe prove that the groups PSL(r,q^d) can be realized F_q(T)-regularly as Galois groups over the purely transcendental field F_q(T)(t_1,...,t_{r-1}) if r is even and r/2 is coprime to q^d-1. The method is to use twisted moduli schemes of Drinfeld modules (a la Shih). If one has sufficient control over modular forms, it can be made into an algorithm to find explicit equations. We do this for PSL(2,q^2) using Drinfeld modular forms.
dc.description14 pages, uses a4 style
dc.identifierhttps://arxiv.org/abs/math/0209023
dc.identifierhttp://arxiv.org/abs/math/0209023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64835
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject12F12, 11G09
dc.titleTorsion of Drinfeld modules and equicharacteristic unimodular Galois covers
dc.typetext

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