2 00 4 MULTIPLIER IDEALS , b - FUNCTION , AND SPECTRUM
نویسندگان
چکیده
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 Mustata for a hyperplane arrangement with a reduced equation. Using these, we can calculate the b-function and the spectrum in certain cases.
منابع مشابه
ON b-FUNCTION, SPECTRUM AND MULTIPLIER IDEALS
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 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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تاریخ انتشار 2004