Generic Gr\"obner bases in D-modules and application to algebraic and analytic Gr\"obner fans
Rouchdi Bahloul · arXiv (Cornell University) · 2003
This is the first part of a work dedicated to the study of Bernstein-Sato polynomials for several analytic functions depending on parameters. The main result of this part is a constructibility result for the analytic Grobner fan of a parametric ideal in the ring of analytic differential operators. In this part, the main tool is the notion of generic reduced standard basis.