7 citations · 11 across the 8 of their papers we have counts for
8 papers
Parametric standard basis, degree bound and local Hilbert-Samuel function
Rouchdi Bahloul
We propose a general study of standard bases of polynomial ideals with parameters in the case where the monomial order is arbitrary. We give an application to the computation of th…
Algorithm for computing local Bernstein-Sato ideals
Rouchdi Bahloul, Toshinori Oaku
Given polynomials of variables over a field of characteristic 0 and a point , we propose an algorithm computing the local Bernstein-Sato ideal at . Moreov…
Some results on Bernstein-Sato polynomials for parametric analytic functions
Rouchdi Bahloul
This is the second part of a work dedicated to the study of Bernstein-Sato polynomials for several analytic functions depending on parameters. In this part, we give constructive re…
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…