Asymptotic invariants of base loci

Ein, Lawrence; Lazarsfeld, Robert; Mustaţă, Mircea; Nakamaye, Michael; Popa, Mihnea

Annales de l'Institut Fourier, Tome 56 (2006) no. 6, pp. 1701-1734.

Le but de cet article est de définir et d’étudier systématiquement quelques invariants asymptotiques associés aux lieux de base des fibrés en droites sur les variétés projectives lisses. Le comportement fonctionnel de ces invariants est lié au comportement ensembliste des lieux de base.

The purpose of this paper is to define and study systematically some asymptotic invariants associated to base loci of line bundles on smooth projective varieties. The functional behavior of these invariants is related to the set-theoretic behavior of base loci.

Classification : 14C20, 14B05, 14F17
Keywords: Base loci, asymptotic invariants, multiplier ideals
Mot clés : lieu de base, invariants asymptotiques, idéaux multiplicateurs

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