Finiteness results for Teichmueller curves

dc.creatorMoeller, Martin
dc.date2005-09-04
dc.date.accessioned2026-07-07T05:22:57Z
dc.date.available2026-07-07T05:22:57Z
dc.descriptionWe show that for each genus there are only finitely many algebraically primitive Teichmueller curves C, such that i) C lies in the hyperelliptic locus and ii) C is generated by an abelian differential with two zeros of order g-1. We prove moreover that for these Teichmueller curves the trace field of the affine group is not only totally real but cyclotomic.
dc.identifierhttps://arxiv.org/abs/math/0509079
dc.identifierhttp://arxiv.org/abs/math/0509079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76256
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.titleFiniteness results for Teichmueller curves
dc.typetext

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