A comb of origami curves in the moduli space M_3 with three dimensional closure

Simple item page
dc.creatorHerrlich, Frank
dc.creatorSchmithuesen, Gabriela
dc.date2007-03-07
dc.date.accessioned2026-07-07T07:50:40Z
dc.date.available2026-07-07T07:50:40Z
dc.descriptionThe first part of this paper is a survey on Teichmueller curves and Veech groups, with emphasis on the special case of origamis where much stronger tools for the investigation are available than in the general case. In the second part we study a particular configuration of origami curves in genus 3: A "base" curve is intersected by infinitely many "transversal" curves. We determine their Veech groups and the closure of their locus in M_3, which turns out to be a three dimensional variety and the image of a certain Hurwitz space in M_3.
dc.description34 pages. To appear in Geometriae Dedicata
dc.identifierhttps://arxiv.org/abs/math/0703205
dc.identifierhttp://arxiv.org/abs/math/0703205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125241
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.subject14H10, 14H30, 32G15, 53C10
dc.titleA comb of origami curves in the moduli space M_3 with three dimensional closure
dc.typetext

Files

Collections

arXiv