منابع مشابه
Bernstein-sato Polynomials of Arbitrary Varieties
We introduce the notion of Bernstein-Sato polynomial of an arbitrary variety, using the theory of V -filtrations of M. Kashiwara and B. Malgrange. We prove that the decreasing filtration of multiplier ideals coincides essentially with the restriction of the V -filtration. This implies a relation between the roots of the Bernstein-Sato polynomial and the jumping coefficients of the multiplier id...
متن کاملBernstein-sato Polynomials of Hyperplane Arrangements
Using a generalization of Malgrange’s formula and a solution of Aomoto’s conjecture due to Esnault, Schechtman and Viehweg, we calculate the Bernstein-Sato polynomial (i.e. b-function) of a hyperplane arrangement with a reduced equation, and show that its roots are greater than−2 and the multiplicity of −1 coincides with the (effective) dimension. As a corollary we get a new proof of Walther’s ...
متن کاملSome Results on Bernstein-sato Polynomials for Parametric Analytic Functions
This is the second part of a work dedicated to the study of Bernstein-Sato polynomials for several analytic functions depending on parameters. In this part, we give constructive results generalizing previous ones obtained by the author in the case of one function. We also make an extensive study of an example for which we give an expression of a generic (and under some conditions, a relative) B...
متن کاملComputations of Multiplier Ideals via Bernstein-sato Polynomials
Multiplier ideals are very important in higher dimensional geometry to study the singularities of ideal sheaves. It reflects the singularities of the ideal sheaves and provides strong vanishing theorem called the Kawamata-Viehweg-Nadel vanishing theorem (see [3]). However, the multiplier ideals are defined via a log resolution of the ideal sheaf and divisors on the resolved space, and it is dif...
متن کاملSe p 20 04 BERNSTEIN - SATO POLYNOMIALS OF ARBITRARY VARIETIES
We introduce the notion of Bernstein-Sato polynomial of an arbitrary variety, using the theory of V -filtrations of M. Kashiwara and B. Malgrange. We prove that the decreasing filtration of multiplier ideals coincides essentially with the restriction of the V -filtration. This implies a relation between the roots of the Bernstein-Sato polynomial and the jumping coefficients of the multiplier id...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1997
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-97-03774-x