7 citations · 9 across the 5 of their papers we have counts for
5 papers
Local Gröbner fan: polyhedral and computational approach
Rouchdi Bahloul, Nobuki Takayama
The goal of this paper is to show that the local Gröbner fan is a polyhedral fan for ideals in the ring of power series and the homogenized ring of analytic differential operators.…
Generic and comprehensive standard bases
Rouchdi Bahloul
Parametric Gröbner bases have been studied for more than 15 years and are now a further developed subject. Here we propose a general study of parametric standard bases, that is wit…
Existence of Bernstein-Sato polynomials by using the analytic Grobner fan
Rouchdi Bahloul
In 1987, C. Sabbah proved the existence of Bernstein-Sato polynomials associated with several analytic functions. The purpose of this article is to give a more elementary and const…
Grobner fan for analytic D-modules with parameters
Rouchdi Bahloul
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 cons…
Generic Bernstein-Sato polynomial on an irreducible affine scheme
Rouchdi Bahloul
Given polynomials with coefficients in a commutative unitary integral ring containing , we define the notion of a generic Bernstein-Sato polynomial on…