$\mathrm{GL}^+(2,\mathbb{R})$-orbits in Prym eigenform loci
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 | 2024-04-04T03:16:00Z | |
dc.date.available | 2024-04-04T03:16:00Z | |
dc.date.issued | 2016-07-04 | |
dc.identifier.issn | 1465-3060 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194177 | |
dc.description.abstractEn | This paper is devoted to the classification of GL^+(2,R)-orbit closures of surfaces in the intersection of the Prym eigenform locus with various strata of quadratic differentials. We show that the following dichotomy holds: an orbit is either closed or dense in a connected component of the Prym eigenform locus. The proof uses several topological properties of Prym eigenforms, which are proved by the authors in a previous work. In particular the tools and the proof are independent of the recent results of Eskin-Mirzakhani-Mohammadi. As an application we obtain a finiteness result for the number of closed GL^+(2,R)-orbits (not necessarily primitive) in the Prym eigenform locus Prym_D(2,2) for any fixed D that is not a square. | |
dc.description.sponsorship | Systemes et Algorithmes Pervasifs au confluent des mondes physique et numérique - ANR-11-LABX-0025 | |
dc.language.iso | en | |
dc.publisher | Mathematical Sciences Publishers | |
dc.subject.en | moduli space | |
dc.subject.en | Prym eigenform | |
dc.subject.en | translation surface | |
dc.title.en | $\mathrm{GL}^+(2,\mathbb{R})$-orbits in Prym eigenform loci | |
dc.type | Article de revue | |
dc.subject.hal | Mathématiques [math]/Topologie géométrique [math.GT] | |
dc.identifier.arxiv | 1310.8537 | |
bordeaux.journal | Geometry and Topology | |
bordeaux.page | 1359-1426 | |
bordeaux.volume | 20 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 3 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-01258856 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01258856v1 | |
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