Valuations and multiplier ideals
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Publication:4679401
DOI10.1090/S0894-0347-05-00481-9zbMATH Open1075.14001arXivmath/0406109OpenAlexW1809207856MaRDI QIDQ4679401
Author name not available (Why is that?)
Publication date: 30 May 2005
Published in: (Search for Journal in Brave)
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 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.
Full work available at URL: https://arxiv.org/abs/math/0406109
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