47 citations · 109 across the 28 of their papers we have counts for
6 papers · 2 filters
Algebraic intermediate hyperbolicities
Antoine Etesse, Ariyan Javanpeykar, Erwan Rousseau
We extend Lang's conjectures to the setting of intermediate hyperbolicity and prove two new results motivated by these conjectures. More precisely, we first extend the notion of al…
Albanese maps and fundamental groups of varieties with many rational points over function fields
Ariyan Javanpeykar, Erwan Rousseau
We investigate properties of the Albanese map and the fundamental group of a complex projective variety with many rational points over some function field, and prove that every lin…
Hyperbolicity and Specialness of Symmetric Powers
Benoit Cadorel, Frédéric Campana, Erwan Rousseau
Inspired by the computation of the Kodaira dimension of symmetric powers Xm of a complex projective variety X of dimension n 2 by Arapura and Archava, we study their analytic…
Rational Endomorphisms of Codimension One Holomorphic Foliations
Federico Lo Bianco, Jorge Pereira, Erwan Rousseau +1
In this work, we study dominant rational maps preserving singular holomorphic codimension one foliations on projective manifolds and that exhibit non-trivial transverse dynamics.
Quasi-positive orbifold cotangent bundles ; Pushing further an example by Junjiro Noguchi
Lionel Darondeau, Erwan Rousseau
In this work, we investigate the positivity of logarithmic and orbifold cotangent bundles along hyperplane arrangements in projective spaces. We show that a very interesting exampl…
Nonspecial varieties and Generalized Lang-Vojta conjectures
Erwan Rousseau, Amos Turchet, Julie Tzu-Yueh Wang
We construct a family of fibered threefolds such that has no étale cover that dominates a variety of general type but it dominates the orbifold of g…