Mostrar el registro sencillo del ítem

Parallelogram decompositions and generic surfaces in $H^{\text{hyp}}(4)$

hal.structure.identifierÉquipe Géométrie
dc.contributor.authorNGUYEN, Duc-Manh
dc.date.accessioned2024-04-04T02:18:29Z
dc.date.available2024-04-04T02:18:29Z
dc.date.created2010-12-05
dc.date.issued2011
dc.identifier.issn1465-3060
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189319
dc.description.abstractEnIn this paper we are interested in the stratum H^{hyp}(4) of translation surfaces, which consists of pairs (M,\omega), where M is a hyper-elliptic Riemann surface of genus 3, and \omega is a holopmorphic 1-form on M having only one zero. We first show that every surface in this stratum can be decomposed into parallelograms following a unique model. We then single out a condition on this decomposition, and show that if this condition is satisfied then the SL(2,R) orbit of the surface is dense in the stratum. Using this criterion, we show that there are generic surfaces in this stratum with coordinates in any quadratic field, and that surfaces arising from the Thurston-Veech construction with cubic trace field can be generic.
dc.language.isoen
dc.publisherMathematical Sciences Publishers
dc.title.enParallelogram decompositions and generic surfaces in $H^{\text{hyp}}(4)$
dc.typeArticle de revue
dc.identifier.doi10.2140/gt.2011.15.1707
dc.subject.halMathématiques [math]/Topologie géométrique [math.GT]
dc.identifier.arxiv1012.0994
bordeaux.journalGeometry and Topology
bordeaux.page1707-1747
bordeaux.volume15
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue3
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00974003
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00974003v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Geometry%20and%20Topology&rft.date=2011&rft.volume=15&rft.issue=3&rft.spage=1707-1747&rft.epage=1707-1747&rft.eissn=1465-3060&rft.issn=1465-3060&rft.au=NGUYEN,%20Duc-Manh&rft.genre=article


Archivos en el ítem

ArchivosTamañoFormatoVer

No hay archivos asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem