Origamis with non congruence Veech groups

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dc.creatorSchmithuesen, Gabriela
dc.date2007-04-03
dc.date.accessioned2026-07-07T07:54:27Z
dc.date.available2026-07-07T07:54:27Z
dc.descriptionAs main result we show that for each g > 1 there is some translation surface of genus g whose Veech group is a non congruence subgroup of SL(2,Z). We use origamis/square-tiled surfaces to produce our examples. The article is divided into two parts: In the first part we introduce translation surfaces, origamis, Veech groups and Teichmueller curves and show for two origamis in genus 2 that their Veech groups are non congruence groups; in the second part we provide a technique that produces sequences of origamis whose Veech groups are decreasing. This is used to prove the main result.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0704.0416
dc.identifierhttp://arxiv.org/abs/0704.0416
dc.identifierProceedings of 34th Symposium on Transformation Groups, Edited by T. Kawakami, Wing Co., Ltd., 2007 (p.31 - 55).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126617
dc.subjectGeometric Topology
dc.subjectAlgebraic Geometry
dc.subject14H30; 20F28; 32G15; 53C10
dc.titleOrigamis with non congruence Veech groups
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