2 4 Fe b 20 05 VALUATIONS AND MULTIPLIER IDEALS
نویسنده
چکیده
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.
منابع مشابه
ar X iv : m at h / 04 06 10 9 v 1 [ m at h . C V ] 7 J un 2 00 4 VALUATIONS AND MULTIPLIER IDEALS
We present a new approach to the study of multiplier ideals in a local, two-dimensional setting. Our method allows us to deal with of 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 ...
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