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.

[发布日期] 1997-05-01

[效力级别]  Proceedings Paper