Valuations and multiplier ideals
复变函数
2007-05-23 v2 代数几何
摘要
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.
引用
@article{arxiv.math/0406109,
title = {Valuations and multiplier ideals},
author = {Charles Favre and Mattias Jonsson},
journal= {arXiv preprint arXiv:math/0406109},
year = {2007}
}
备注
32 pages, 3 figures. To appear in J. Amer. Math. Soc