Classification of higher rank orbit closures in $H^{\text{odd}}(4)$
| dc.contributor.author | AULICINO, David | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | NGUYEN, Duc-Manh | |
| dc.contributor.author | WRIGHT, Alex | |
| dc.date.accessioned | 2024-04-04T02:18:18Z | |
| dc.date.available | 2024-04-04T02:18:18Z | |
| dc.date.created | 2014-04-04 | |
| dc.date.issued | 2016-08 | |
| dc.identifier.issn | 1435-9855 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189299 | |
| dc.description.abstractEn | The moduli space of genus 3 translation surfaces with a single zero has two connected components. We show that in the odd connected component H^{odd}(4) the only GL^+(2,R) orbit closures are closed orbits, the Prym locus Q(3,-1^3), and H^{odd}(4). Together with work of Matheus-Wright, this implies that there are only finitely many non-arithmetic closed orbits (Teichmuller curves) in H^{odd}(4) outside of the Prym locus. | |
| dc.language.iso | en | |
| dc.publisher | European Mathematical Society | |
| dc.subject | translation surface | |
| dc.subject | moduli space | |
| dc.title.en | Classification of higher rank orbit closures in $H^{\text{odd}}(4)$ | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Systèmes dynamiques [math.DS] | |
| dc.subject.hal | Mathématiques [math]/Topologie géométrique [math.GT] | |
| dc.identifier.arxiv | 1308.5879 | |
| bordeaux.journal | Journal of the European Mathematical Society | |
| bordeaux.page | 1855-1872 | |
| bordeaux.volume | 18 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 8 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00988383 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00988383v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20the%20European%20Mathematical%20Society&rft.date=2016-08&rft.volume=18&rft.issue=8&rft.spage=1855-1872&rft.epage=1855-1872&rft.eissn=1435-9855&rft.issn=1435-9855&rft.au=AULICINO,%20David&NGUYEN,%20Duc-Manh&WRIGHT,%20Alex&rft.genre=article |
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