ALGORITHMS FOR THE B-FUNCTION AND D-MODULES ASSOCIATED WITH A POLYNOMIAL

摘要

Let f be an arbitrary polynomial of n variables defined over a field of characteristic zero. We present algorithms for computing the b-function (Bernstein-Sato polynomial) of f, the D-module (the system of linear partial differential equations) for f(s), and the algebraic local cohomology group associated with f by using Grobner bases for differential operators. (C) 1997 Elsevier Science B.V. [References: 33]