Multiplier ideals, $b$-function, and spectrum of a hypersurface singularity
نویسندگان
چکیده
منابع مشابه
MULTIPLIER IDEALS, b-FUNCTION, AND SPECTRUM OF A HYPERSURFACE SINGULARITY
We prove that certain roots of the Bernstein-Sato polynomial (i.e. b-function) are jumping coefficients up to a sign, showing a partial converse of a theorem of L. Ein, R. Lazarsfeld, K.E. Smith, and D. Varolin. We also prove that certain roots are determined by a filtration on the Milnor cohomology, generalizing a theorem of B. Malgrange in the isolated singularity case. This implies a certain...
متن کاملMultiplier ideals, b-function, and spectrum of a hyperplane singularity
We show a converse of a theorem of Ein, Lazarsfeld, Smith, and Varolin on the relation between the jumping coefficients and the roots of the Bernstein-Sato polynomial under certain hypotheses without which the assertion does not hold. For an explicit calculation we prove a formula for the multiplier ideals of stratified locally conical divisors, generalizing a formula of Mustata for a hyperplan...
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We survey some recent developments in the theory of b-function, spectrum, and multiplier ideals together with certain interesting relations among them including the case of arbitrary subvarieties. Dedicated to Professor Masaki Kashiwara
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We show a converse of a theorem of Ein, Lazarsfeld, Smith, and Varolin on the relation between the jumping coefficients and the roots of the b-function (i.e. the BernsteinSato polynomial) under certain hypotheses without which the assertion does not hold. For an explicit calculation we prove a formula for the multiplier ideals of stratified locally conical divisors, generalizing a formula of Mu...
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Trivia: in how many different ways can the log canonical threshold of a polynomial be computed? At least six ways in general, plus four more ways with some luck. This richness of approaches reflects the central place that log canonical thresholds and, more generally, multiplier ideals have in singularity theory. Singularity theory is a subject deeply connected with many areas of mathematics and...
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2007
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x07002916