most citedThe pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension

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math.AG2004★ 68 cited

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…

math.AG2001

Numerical characterization of the Kähler cone of a compact Kähler manifold

Jean-Pierre Demailly, Mihai Paun

The goal of this work is give a precise numerical description of the Kähler cone of a compact Kähler manifold. Our main result states that the Kähler cone depends only on the inter…