22 citations · 134 across the 38 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
math.AG2013
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…
math.AG2013★ 5 cited
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…
math.AG2013
Orbifold generic semi-positivity: an application to families of canonically polarized manifolds
Frédéric Campana, Mihai Păun
In this article we establish a version of Y. Miyaoka generic semi-positivity theorem in the context of log-canonical orbifold pairs. As an application, we show that the canonical b…