17 citations · 57 across the 18 of their papers we have counts for
20 papers
Weak Kähler hyperbolicity is birational
Francesco Bei, Benoît Claudon, Simone Diverio +1
We show that a compact Kähler manifold bimeromorphic to a weakly Kähler hyperbolic manifold is weakly Kähler hyperbolic, providing an answer to a problem raised by J. Kollár in his…
Projectivity criteria for Kähler morphisms
Benoît Claudon, Andreas Höring
In this short note we prove two projectivity criteria for fibrations between mildly singular compact Kähler spaces. They are the relative versions of the celebrated criteria of Kod…
Equality in the Miyaoka-Yau inequality and uniformization of non-positively curved klt pairs
Benoît Claudon, Patrick Graf, Henri Guenancia
Let be a compact Kähler klt pair, where is ample or numerically trivial, and has standard coefficients. We show that if equality holds in the orbifold Miyaok…
Structure of Kähler foliations with negative transverse Ricci curvature
Benoît Claudon, Frédéric Touzet
We investigate the structure of transversely Kähler foliations with quasi-negative tranverse Ricci curvature. In particular, we prove a de Rham type theorem decomposition on the le…
Numerical characterization of complex torus quotients
Benoît Claudon, Patrick Graf, Henri Guenancia
This article gives a characterization of quotients of complex tori by finite groups acting freely in codimension two in terms of a numerical vanishing condition on the first and se…
Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups
Benoît Claudon, Patrick Graf, Henri Guenancia +1
Let be a compact Kähler space with klt singularities and vanishing first Chern class. We prove the Bochner principle for holomorphic tensors on the smooth locus of : any suc…