Geodesic
Valuations and multiplier ideals
Favre, Charles1 ; Jonsson, Mattias2, 3
1 CNRS, Institut de Mathématiques, Equipe Géométrie et Dynamique, F-75251 Paris Cedex 05, France
2 Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
3 Department of Mathematics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
Journal of the American Mathematical Society, Tome 18 (2005) no. 3, pp. 655-684

Voir la notice de l'article provenant de la source American Mathematical Society

We present a new approach to the study of multiplier ideals in a local, two-dimensional setting. Our method allows us to deal with ideals, graded systems of ideals and plurisubharmonic functions in a unified way. Among the applications are a formula for the complex integrability exponent of a plurisubharmonic function in terms of Kiselman numbers, and a proof of the openness conjecture by Demailly and Kollár. Our technique also yields new proofs of two recent results: one on the structure of the set of complex singularity exponents for holomorphic functions; the other by Lipman and Watanabe on the realization of ideals as multiplier ideals.
DOI : 10.1090/S0894-0347-05-00481-9

Favre, Charles 1 ; Jonsson, Mattias 2, 3

1 CNRS, Institut de Mathématiques, Equipe Géométrie et Dynamique, F-75251 Paris Cedex 05, France
2 Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
3 Department of Mathematics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden 
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Favre, Charles; Jonsson, Mattias. Valuations and multiplier ideals. Journal of the American Mathematical Society, Tome 18 (2005) no. 3, pp. 655-684. doi: 10.1090/S0894-0347-05-00481-9

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