Introduction to a theory of b-functions
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0610783,
title = {Introduction to a theory of b-functions},
author = {Morihiko Saito},
journal= {arXiv preprint arXiv:math/0610783},
year = {2007}
}
Comments
15 pages, for the proceedings of a seminar at RIMS