Genus two Veech surfaces arising from general quadratic differentials

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dc.creatorVasilyev, Sergey
dc.date2005-04-09
dc.date.accessioned2026-07-07T06:24:13Z
dc.date.available2026-07-07T06:24:13Z
dc.descriptionWe study Veech surfaces of genus 2 arising from quadratic differentials that are not squares of abelian differentials. We prove that all such surfaces of type (2,2) and (2,1,1) are arithmetic. In (1,1,1,1) case, we reduce the question to abelian differentials of type (2,2) on hyperelliptic genus 3 surfaces with singularities at Weierstrass points, and we give an example of a non-arithmetic Veech surface.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0504180
dc.identifierhttp://arxiv.org/abs/math/0504180
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96468
dc.subjectGeometric Topology
dc.subject32G15; 37D50
dc.titleGenus two Veech surfaces arising from general quadratic differentials
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