47 citations · 109 across the 28 of their papers we have counts for
35 papers
The theorem of Maehara-Severi for maps of general type
Finn Bartsch, Ariyan Javanpeykar, Erwan Rousseau
We prove a finiteness result for dominant rational maps whose orbifold base is of general type. Our finiteness result generalizes Maehara's theorem that a given variety dominates o…
Simply connectedness and hyperbolicity
Erwan Rousseau, Carlo Gasbarri, Amos Turchet +1
We generalize to arbitrary dimension our previous construction of simply connected weakly-special but not special varieties. We show that they satisfy the function field and comple…
Chern class inequalities for non-uniruled projective varieties
Erwan Rousseau, Behrouz Taji
It is known that projective minimal models satisfy the celebrated Miyaoka-Yau inequalities. In this article, we extend these inequalities to the set of all smooth, projective and n…
On the existence of logarithmic and orbifold jet differentials
Frédéric Campana, Lionel Darondeau, Jean-Pierre Demailly +1
We introduce the concept of directed orbifold, namely triples (X, V, D) formed by a directed algebraic or analytic variety (X, V), and a ramification divisor D, where V is a cohere…
Numerically nonspecial varieties
Jorge Vitorio Pereira, Erwan Rousseau, Frédéric Touzet
Campana introduced the class of special varieties as the varieties admitting no Bogomolov sheaves i.e. rank one coherent subsheaves of maximal Kodaira dimension in some exterior po…
Divisibility of polynomials and degeneracy of integral points
Erwan Rousseau, Julie Tzu-Yueh Wang, Amos Turchet
We prove several statements about arithmetic hyperbolicity of certain blow-up varieties. As a corollary we obtain multiple examples of simply connected quasi-projective varieties t…