22 citations · 134 across the 38 of their papers we have counts for
4 papers · 1 filter
Subharmonicity of direct images and applications
Frédéric Campana, Junyan Cao, Mihai Păun
In this article we establish new positivity properties for direct images of twisted pluricanonical bundle of an algebraic fiber space. As a corollary we obtain an algebraicity crit…
Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields
Frédéric Campana, Henri Guenancia, Mihai Păun
We prove the existence of non-positively curved Kähler-Einstein metrics with cone singularities along a given simple normal crossing divisor on a compact Kähler manifold, under a t…
Birational stability of the cotangent bundle
Frederic Campana
We define a birational version of the stability of cotangent sheaves for complex projective manifolds, and more generally for smooth orbifolds. We then show, using standard conject…
A Brody theorem for orbifolds
Frederic Campana, Joerg Winkelmann
We study the Kobayashi pseudodistance for orbifolds, proving an orbifold version of Brody's theorem and classifying which one-dimensional orbifolds are hyperbolic.