Non-Veech surfaces in $H^{\text{hyp}}(4)$ are generic
| hal.structure.identifier | Équipe Géométrie | |
| dc.contributor.author | NGUYEN, Duc-Manh | |
| dc.contributor.author | WRIGHT, Alex | |
| dc.date.accessioned | 2024-04-04T02:18:19Z | |
| dc.date.available | 2024-04-04T02:18:19Z | |
| dc.date.created | 2013-06-20 | |
| dc.date.issued | 2014-07-18 | |
| dc.identifier.issn | 1016-443X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189300 | |
| dc.description.abstractEn | We show that every surface in H^hyp(4) is either a Veech surface or a generic surface, i.e. its GL^+(2,R)-orbit is either a closed or a dense subset of H^hyp(4) . The proof develops new techniques applicable in general to the problem of classifying orbit closures, especially in low genus. Recent results of Eskin-Mirzakhani-Mohammadi, Avila-Eskin-Möller, and the second author are used. Combined with work of Matheus and the second author, a corollary is that there are at most finitely many non-arithmetic Teichmüller curves (closed orbits of surfaces not covering the torus) in H^hyp(4). | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | translation surface | |
| dc.subject.en | hyperelliptic component | |
| dc.title.en | Non-Veech surfaces in $H^{\text{hyp}}(4)$ are generic | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00039-014-0297-0 | |
| dc.subject.hal | Mathématiques [math]/Systèmes dynamiques [math.DS] | |
| dc.subject.hal | Mathématiques [math]/Topologie géométrique [math.GT] | |
| dc.identifier.arxiv | 1306.4922 | |
| bordeaux.journal | Geometric And Functional Analysis | |
| bordeaux.page | 1-20 | |
| bordeaux.volume | xx | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | xx | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00988381 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00988381v1 | |
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