We define on any affine invariant orbifold M a foliation FM that generalises the isoperiodic foliation on strata of the moduli space of translation surfaces and study the dynamics of its leaves in the rank 1 case. We establish a criterion that ensures the density of the leaves and provide two applications of this criterion. The first one is a classification of the dynamical behavior of the leaves of FM when M is Prym eigenform locus in genus 3 and the second provides the first examples of dense isoperiodic leaves in the stratum H(2, 1, 1)
Abstract. There is a well-known rigidity theorem of Y. Ilyashenko ([10]) for (singular) holomorphic ...
Consultable des del TDXTítol obtingut de la portada digitalitzadaMireu els arxius en Acrobat: "resum...
In moduli spaces of abelian varieties and of p-divisible groups in characteristic p we have various ...
We define on any affine invariant orbifold M a foliation F^M that generalises the isoperiodic foliat...
The strata of the moduli space of abelian di_erentials are endowed with a naturalholomorphic foliati...
Les strates de l'espace de modules des di__erentielles ab_eliennes sont naturellementmunies d'un feu...
We classify the non arithmetic rank one affine invariant orbifolds that do not arise from Veech surf...
The unstable foliation, that locally is given by changing horizontal components of period coordinate...
We classify the possible closures of leaves of the isoperiodic foliation defined on the Hodge bundle...
Abstract. We make a detailed study of the unpublished work of M. Handel and R. Miller on the classif...
International audienceThis article studies codimension one foliations on projective man-ifolds havin...
This book provides a detailed introduction to the coarse quasi-isometry of leaves of a foliated spac...
Given a (possibly singular) Riemannian foliation $\mathcal{F}$ with closed leaves on a compact manif...
Presentation substantially improved. Results essentially unchanged.The aim of this paper is to study...
Compact Riemann surfaces of genus greater than 1 can be realized as quotient spaces of the hyperboli...
Abstract. There is a well-known rigidity theorem of Y. Ilyashenko ([10]) for (singular) holomorphic ...
Consultable des del TDXTítol obtingut de la portada digitalitzadaMireu els arxius en Acrobat: "resum...
In moduli spaces of abelian varieties and of p-divisible groups in characteristic p we have various ...
We define on any affine invariant orbifold M a foliation F^M that generalises the isoperiodic foliat...
The strata of the moduli space of abelian di_erentials are endowed with a naturalholomorphic foliati...
Les strates de l'espace de modules des di__erentielles ab_eliennes sont naturellementmunies d'un feu...
We classify the non arithmetic rank one affine invariant orbifolds that do not arise from Veech surf...
The unstable foliation, that locally is given by changing horizontal components of period coordinate...
We classify the possible closures of leaves of the isoperiodic foliation defined on the Hodge bundle...
Abstract. We make a detailed study of the unpublished work of M. Handel and R. Miller on the classif...
International audienceThis article studies codimension one foliations on projective man-ifolds havin...
This book provides a detailed introduction to the coarse quasi-isometry of leaves of a foliated spac...
Given a (possibly singular) Riemannian foliation $\mathcal{F}$ with closed leaves on a compact manif...
Presentation substantially improved. Results essentially unchanged.The aim of this paper is to study...
Compact Riemann surfaces of genus greater than 1 can be realized as quotient spaces of the hyperboli...
Abstract. There is a well-known rigidity theorem of Y. Ilyashenko ([10]) for (singular) holomorphic ...
Consultable des del TDXTítol obtingut de la portada digitalitzadaMireu els arxius en Acrobat: "resum...
In moduli spaces of abelian varieties and of p-divisible groups in characteristic p we have various ...