Uniruledness of stable base loci of adjoint linear systems with and without Mori Theory

S. Boucksom (1) , Amaël Broustet (2) , Gianluca Pacienza (2)

1 IMJ - Institut de Mathématiques de Jussieu
2 IRMA - Institut de Recherche Mathématique Avancée

We explain how to deduce from recent results in the Minimal Model Program a general uniruledness theorem for base loci of adjoint divisors. We also show how to recover special cases by extending a technique introduced by Takayama.

Mots clés: big and pseff adjoint divisors; stable; non-ample and non-nef base locus; rational curves.; rational curves

Domaines: Géométrie algébrique [math.AG]

S. Boucksom, Amaël Broustet, Gianluca Pacienza. Uniruledness of stable base loci of adjoint linear systems with and without Mori Theory. 2009. ⟨hal-00360151⟩