Introduction to a theory of b-functions

Details Introduction to a theory of b-functions Introduction to a theory of b-functions

2006-10-26

arxiv.org/abs/math/0610783v1

Mathematics

Algebraic Geometry

15 pages, for the proceedings of a seminar at RIMS

Scientific paper

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.

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