no. 6
Asymptotic invariants of base loci
[Invariants asymptotiques des lieux de base]
Ein, Lawrence1 ; Lazarsfeld, Robert2 ; Mustaţă, Mircea3 ; Nakamaye, Michael4 ; Popa, Mihnea5
1 University of Illinois at Chicago Department of Mathematics 851 South Morgan Street (M/C 249) Chicago IL 60607-7045 (USA)
2 University of Michigan Department of Mathematics Ann Arbor, MI 48109 (USA)
3 University of Michigan Department of Mathematics Ann Arbor MI 48109 (USA)
4 University of NewMexico Department of Mathematics and Statistics Albuquerque New Mexico 87131 (USA)
5 University of Chicago Department of Mathematics 5734 S. University Av. Chicago IL 60637 (USA)
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.

DOI : 10.5802/aif.2225
Classification : 14C20, 14B05, 14F17
Keywords: Base loci, asymptotic invariants, multiplier ideals
Mot clés : lieu de base, invariants asymptotiques, idéaux multiplicateurs
Ein, Lawrence 1 ; Lazarsfeld, Robert 2 ; Mustaţă, Mircea 3 ; Nakamaye, Michael 4 ; Popa, Mihnea 5

1 University of Illinois at Chicago Department of Mathematics 851 South Morgan Street (M/C 249) Chicago IL 60607-7045 (USA)
2 University of Michigan Department of Mathematics Ann Arbor, MI 48109 (USA)
3 University of Michigan Department of Mathematics Ann Arbor MI 48109 (USA)
4 University of NewMexico Department of Mathematics and Statistics Albuquerque New Mexico 87131 (USA)
5 University of Chicago Department of Mathematics 5734 S. University Av. Chicago IL 60637 (USA) 
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Ein, Lawrence; Lazarsfeld, Robert; Mustaţă, Mircea; Nakamaye, Michael; Popa, Mihnea. Asymptotic invariants of base loci. Annales de l'Institut Fourier, Tome 56 (2006) no. 6, pp. 1701-1734. doi : 10.5802/aif.2225. http://www.numdam.org/articles/10.5802/aif.2225/

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