68 citations · 108 across the 17 of their papers we have counts for
3 papers · 2 filters
Threefolds with big and nef anticanonical bundles I
Priska Jahnke, Thomas Peternell, Ivo Radloff
We start the classification of smooth projective threefolds X whose anticanonical bundles -K_X are big and nef but not ample. In this paper we treat the case b_2(X) = 2 and the mor…
The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
Sébastien Boucksom, Jean-Pierre Demailly, Mihai Paun +1
We prove that a holomorphic line bundle on a projective manifold is pseudo-effective if and only if its degree on any member of a covering family of curves is non-negative. This is…
Geometric stability of the cotangent bundle and the universal cover of a projective manifold
Frederic Campana, Thomas Peternell, Matei Toma
Consider a projective manifold X and suppose that some wedge power of the cotangent bundle contains a subsheaf whose determinant bundle has maximal Kodaira dimension. Then we prove…