22 citations · 134 across the 38 of their papers we have counts for
44 papers · 1 filter
Erratum and addendum to the paper: Abundance for Kähler threefolds
Frédéric Campana, Andreas Höring, Thomas Peternell
In this text we signal a serious gap in the proof of the main theorem of our paper and explain which parts of the statement remain valid. In fact, the main theorem remains valid un…
The nilpotent quotients of normal quasi-projective varieties with proper quasi-Albanese map
Rodolfo Aguilar Aguilar, Frédéric Campana
We show that if is a normal complex quasi-projective variety, the quasi-Albanese map of which is proper, then the torsionfree nilpotent quotients of are, up to a contr…
Kodaira additivity, birational isotriviality and specialness
Frederic Bruno Campana
We show, using [14], that a smooth projective fibration f : X Y between connected complex quasi-projective manifolds satisfies the equality (X) = (X y) + (Y)…
On algebraically coisotropic submanifolds of holomorphic symplectic manifolds
Ekaterina Amerik, Frédéric Campana
We investigate algebraically coisotropic submanifolds in a holomorphic symplectic projective manifold . Motivated by our results in the hypersurface case, we raise the follo…
Numerical and kodaira dimensions of cotangent bundles
Frederic Bruno Campana
We conjecture the equality of the numerical and Kodaira dimensions and for the cotangent bundle of compact Kähler manifolds , generalising the classical ca…
Algebraicity of foliations on complex projective manifolds, applications
Frederic Campana
Contents 1. Algebraicity criterion: statement 2. Proof of the algebraicity criterion. 3. Pseudoeffectivity and movable classes. 4. Harder-Narasimhan filtrations and pseudo-effectiv…
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…
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…
The Bogomolov-Beauville-Yau Decomposition for Klt Projective Varieties with Trivial First Chern Class -Without Tears-
Frederic Campana
We give a simplified proof (in characteristic zero) of the decomposition theorem for complex projective varieties with klt singularities and numerically trivial canonical bundle. T…
The algebraic dimension of compact complex threefolds with vanishing second Betti numbers
Frederic Campana, Jean-Pierre Demailly, Thomas Peternell
Small changes in sections 4 and 5, results not affected
Dense entire curves in Rationally Connected manifolds
Frederic Campana, Joerg Winkelmann
We show the existence of metrically dense entire curves in rationally connected complex projective manifolds confirming for this case a conjecture according to which such entire cu…
Orbifold hyperbolicity
Frédéric Campana, Lionel Darondeau, Erwan Rousseau
We define and study jet bundles in the geometric orbifold category. We show that the usual arguments from the compact and the logarithmic settings do not all extend to this more ge…
Local projectivity of Lagrangian fibrations on Hyperkähler manifolds
Frederic Campana
We show that if is a Lagrangian fibration from a compact connected Kähler hyperkähler manifold onto a projective normal variety , then is locally projective.…
Specialness and Isotriviality for Regular Algebraic Foliations
Ekaterina Amerik, Frédéric Campana
We show that an everywhere regular foliation with compact canonically polarized leaves on a quasi-projective manifold has isotrivial family of leaves when the orbi…
Orbifold slope-rational connectedness
Frederic Campana
We define, for smooth projective orbifold pairs notions of `slope Rational connectedness', and of orbifold `slope Rational quotient' . These notions extend to this larger c…
Orbifold Slope Rational-Connectedness
Frederic Campana, Mihai Paun
The notion of 'slope rational connectedness' is introduced in the context of smooth orbifold pairs. The main result parallels the characterization of the rational connectedness of…
Fundamental group and pluridifferentials on compact Kähler manifolds
Yohan Brunebarbe, Frédéric Campana
A compact Kähler manifold is shown to be simply-connected if its `symmetric cotangent algebra' is trivial. Conjecturally, such a manifold should even be rationally connected. The…
Foliations with positive slopes and birational stability of orbifold cotangent bundles
Frederic Campana, Mihai Paun
In this article we consider log canonical pairs which are log-smooth. If the corresponding canonical bundle is pseudo-effective, then we show that any quotient of the orbifold cota…
Rational connectedness and order of non-degenerate meromorphic maps from\
Frédéric Campana, Jörg Winkelmann
We show that an -dimensional compact Kähler manifold admitting a non-degenerate meromorphic map of order is rationally connected.
Positivity properties of the bundle of logarithmic tensors on compact Kähler manifolds
Frédéric Campana, Mihai Paun
In this paper we study numerical properties of quotients of holomorphic log-tensors.
Characteristic foliation on non-uniruled smooth divisors on hyperkaehler manifolds
Ekaterina Amerik, Frédéric Campana
We prove that the characteristic foliation on a non-singular divisor in an irreducible projective hyperkaehler manifold cannot be algebraic, unless the leaves of ar…
Abundance for Kaehler threefolds
Frédéric Campana, Andreas Hoering, Thomas Peternell
Let X be a compact Kaehler threefold with terminal singularities such that K\_X is nef. We prove that K\_X is semiample.
Compact Kähler 3-manifolds without non-trivial subvarieties
Frédéric Campana, Jean-Pierre Demailly, Misha Verbitsky
We prove that any compact Kähler 3-dimensional manifold which has no non-trivial complex subvarieties is a torus. This is a very special case of a general conjecture on the structu…
On families of lagrangian tori on hyperkaehler manifolds
Ekaterina Amerik, Frédéric Campana
This is a note on Beauville's problem (solved by Greb, Lehn and Rollenske in the non-algebraic case and by Hwang and Weiss in general) whether a lagrangian torus on an irreducible…