Valuations and multiplier ideals |
| |
Authors: | Charles Favre Mattias Jonsson |
| |
Affiliation: | CNRS, Institut de Mathématiques, Equipe Géométrie et Dynamique, F-75251 Paris Cedex 05, France ; Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109 |
| |
Abstract: | 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. |
| |
Keywords: | Valuations multiplier ideals singularity exponents Arnold multiplicity Lelong numbers Kiselman numbers trees Laplace operator. |
|
| 点击此处可从《Journal of the American Mathematical Society》浏览原始摘要信息 |
|
点击此处可从《Journal of the American Mathematical Society》下载全文 |