Geodesic
Asymptotic invariants of base loci
[Invariants asymptotiques des lieux de base]
Ein, Lawrence1 idref ; Lazarsfeld, Robert2 idref ; Mustaţă, Mircea3 ; Nakamaye, Michael4 idref ; Popa, Mihnea5 idref
1University of Illinois at Chicago Department of Mathematics 851 South Morgan Street (M/C 249) Chicago IL 60607-7045 (USA)
2University of Michigan Department of Mathematics Ann Arbor, MI 48109 (USA)
3University of Michigan Department of Mathematics Ann Arbor MI 48109 (USA)
4University of NewMexico Department of Mathematics and Statistics Albuquerque New Mexico 87131 (USA)
5University 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
Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

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.

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.

DOI : 10.5802/aif.2225
Classification : 14C20, 14B05, 14F17
Keywords: Base loci, asymptotic invariants, multiplier ideals
Mots-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) 
@article{AIF_2006__56_6_1701_0,
     author = {Ein, Lawrence and Lazarsfeld, Robert and Musta\c{t}\u{a}, Mircea and Nakamaye, Michael and Popa, Mihnea},
     title = {Asymptotic invariants of base loci},
     journal = {Annales de l'Institut Fourier},
     pages = {1701--1734},
     year = {2006},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {56},
     number = {6},
     doi = {10.5802/aif.2225},
     zbl = {1127.14010},
     mrnumber = {2282673},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/aif.2225/}
}
TY  - JOUR
AU  - Ein, Lawrence
AU  - Lazarsfeld, Robert
AU  - Mustaţă, Mircea
AU  - Nakamaye, Michael
AU  - Popa, Mihnea
TI  - Asymptotic invariants of base loci
JO  - Annales de l'Institut Fourier
PY  - 2006
SP  - 1701
EP  - 1734
VL  - 56
IS  - 6
PB  - Association des Annales de l’institut Fourier
UR  - http://geodesic.mathdoc.fr/articles/10.5802/aif.2225/
DO  - 10.5802/aif.2225
LA  - en
ID  - AIF_2006__56_6_1701_0
ER  - 
%0 Journal Article
%A Ein, Lawrence
%A Lazarsfeld, Robert
%A Mustaţă, Mircea
%A Nakamaye, Michael
%A Popa, Mihnea
%T Asymptotic invariants of base loci
%J Annales de l'Institut Fourier
%D 2006
%P 1701-1734
%V 56
%N 6
%I Association des Annales de l’institut Fourier
%U http://geodesic.mathdoc.fr/articles/10.5802/aif.2225/
%R 10.5802/aif.2225
%G en
%F AIF_2006__56_6_1701_0
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

Cité par Sources :