Introduction to a theory of b-functions

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We give an introduction to a theory of b-functions, i.e. Bernstein-Sato polynomials. After reviewing some facts from D-modules, we introduce b-functions including the one for arbitrary ideals of the structure sheaf. We explain the relation with singularities, multiplier ideals, etc., and calculate the b-functions of monomial ideals and also of hyperplane arrangements in certain cases.
15 pages, for the proceedings of a seminar at RIMS

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Algebraic Geometry, 32S25

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http://salesiana.dossiersoluciones.com/handle/123456789/118117

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610783
 http://arxiv.org/abs/math/0610783

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arXiv