Complete periodicity of Prym eigenforms
| hal.structure.identifier | Institut Fourier [IF ] | |
| dc.contributor.author | LANNEAU, Erwan | |
| hal.structure.identifier | Équipe Géométrie | |
| dc.contributor.author | NGUYEN, Duc-Manh | |
| dc.date.accessioned | 2024-04-04T03:15:59Z | |
| dc.date.available | 2024-04-04T03:15:59Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 0012-9593 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194176 | |
| dc.description.abstractEn | This paper deals with Prym eigenforms which are introduced previously by McMullen. We prove several results on the directional flow on those surfaces, related to complete periodicity (introduced by Calta). More precisely we show that any homological direction is algebraically periodic, and any direction of a regular closed geodesic is a completely periodic direction. As a consequence we draw that the limit set of the Veech group of every Prym eigenform in some Prym loci of genus 3,4, and 5 is either empty, one point, or the full circle at infinity. We also construct new examples of translation surfaces satisfying the topological Veech dichotomy. As a corollary we obtain new translation surfaces whose Veech group is infinitely generated and of the first kind. | |
| dc.description.sponsorship | Systemes et Algorithmes Pervasifs au confluent des mondes physique et numérique - ANR-11-LABX-0025 | |
| dc.language.iso | en | |
| dc.publisher | Société mathématique de France | |
| dc.subject.en | Prym eigenform | |
| dc.subject.en | moduli space | |
| dc.subject.en | translation surface | |
| dc.title.en | Complete periodicity of Prym eigenforms | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Topologie géométrique [math.GT] | |
| dc.subject.hal | Mathématiques [math]/Systèmes dynamiques [math.DS] | |
| dc.identifier.arxiv | 1301.0783 | |
| bordeaux.journal | Annales Scientifiques de l'École Normale Supérieure | |
| bordeaux.page | 87-30 | |
| bordeaux.volume | 49 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01258865 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01258865v1 | |
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