Valuations and multiplier ideals
| dc.creator | Favre, Charles | |
| dc.creator | Jonsson, Mattias | |
| dc.date | 2004-06-07 | |
| dc.date | 2005-02-24 | |
| dc.date.accessioned | 2026-07-07T05:08:56Z | |
| dc.date.available | 2026-07-07T05:08:56Z | |
| dc.description | 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 Kollar. 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. | |
| dc.description | 32 pages, 3 figures. To appear in J. Amer. Math. Soc | |
| dc.identifier | https://arxiv.org/abs/math/0406109 | |
| dc.identifier | http://arxiv.org/abs/math/0406109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71455 | |
| dc.subject | Complex Variables | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14B05; 32U25; 13H05 | |
| dc.title | Valuations and multiplier ideals | |
| dc.type | text |