LANNEAU, Erwan; NGUYEN, Duc-Manh

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LANNEAU, Erwan
Institut Fourier [IF ]

NGUYEN, Duc-Manh
Équipe Géométrie

Idioma

Article de revue

Este ítem está publicado en

Geometry and Topology. 2016-07-04, vol. 20, n° 3, p. 1359-1426

Mathematical Sciences Publishers

Resumen en inglés

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.< Leer menos

Palabras clave en inglés

moduli space

Prym eigenform

translation surface

URI

https://oskar-bordeaux.fr/handle/20.500.12278/194177

Proyecto ANR

Systemes et Algorithmes Pervasifs au confluent des mondes physique et numérique - ANR-11-LABX-0025

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251