Riemann Surfaces of genus g with an automorphism of order p prime and p>g

dc.creatorUrzua, Giancarlo
dc.date2005-08-03
dc.date2006-11-19
dc.date.accessioned2026-07-07T06:42:44Z
dc.date.available2026-07-07T06:42:44Z
dc.descriptionThe present work completes the classification of the compact Riemann surfaces of genus g with an analytic automorphism of order p (prime number) and p > g. More precisely, we construct a parameteriza- tion space for them, we compute their groups of uniformization and we compute their full automorphism groups. Also, we give affine equations for special cases and some implications on the components of the singular locus of the moduli space of smooth curves of genus g.
dc.description28 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0508069
dc.identifierhttp://arxiv.org/abs/math/0508069
dc.identifierManuscripta Mathematica 121, 169-189 (2006)
dc.identifierdoi:10.1007/s00229-006-0034-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102153
dc.subjectAlgebraic Geometry
dc.subject14H55 (primary) 14H37, 14H15 (secondary)
dc.titleRiemann Surfaces of genus g with an automorphism of order p prime and p>g
dc.typetext

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