activity
19962023
most citedGeometric stability of the cotangent bundle and the universal cover of a projective manifold

22 citations · 134 across the 38 of their papers we have counts for

collaborators

50 papers

math.AG2023

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…

math.AG2023

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…

math.AG2022

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)…

math.AG2022★ 1 cited

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…

math.AG2022

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…

math.AG2021

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…