Valuations and multiplier ideals
نویسندگان
چکیده
منابع مشابه
2 4 Fe b 20 05 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 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 Demai...
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I work in combinatorics, algebraic geometry, convex geometry and commutative algebra while staying informed on certain topics in category theory and ring theory. In particular, I focus on toric varieties and singularity theory. The study of toric varieties lies at the intersection of combinatorics, algebraic geometry, convex geometry and integer programming. There is a correspondence between ce...
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For an effective divisor on a smooth algebraic variety or a complex manifold, we show that the associated multiplier ideals coincide with the filtration induced by the filtration V constructed by B. Malgrange and M. Kashiwara. This implies another proof of a theorem of L. Ein, R. Lazarsfeld, K.E. Smith and D. Varolin that any jumping coefficient in the interval (0,1] is a root of the Bernstein-...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 2005
ISSN: 0894-0347,1088-6834
DOI: 10.1090/s0894-0347-05-00481-9