Zobrazeno 1 - 10
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pro vyhledávání: '"Bahloul, Rouchdi"'
Autor:
Bahloul, Rouchdi
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 the stratification by the local Hilbert-Samuel function. Moreover, we gi
Externí odkaz:
http://arxiv.org/abs/1004.0908
Autor:
Bahloul, Rouchdi, Oaku, Toshinori
Given $p$ polynomials of $n$ variables over a field $k$ of characteristic 0 and a point $a \in k^n$, we propose an algorithm computing the local Bernstein-Sato ideal at $a$. Moreover with the same algorithm we compute a constructible stratification o
Externí odkaz:
http://arxiv.org/abs/0806.4869
Autor:
Bahloul, Rouchdi
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 results generalizing previous ones obtained by the author in the case of
Externí odkaz:
http://arxiv.org/abs/math/0603381
Autor:
Bahloul, Rouchdi, Takayama, Nobuki
The goal of this paper is to show that the local Gr\"obner fan is a polyhedral fan for ideals in the ring of power series and the homogenized ring of analytic differential operators. We will also discuss about relations between the local Gr\"obner fa
Externí odkaz:
http://arxiv.org/abs/math/0412044
Autor:
Bahloul, Rouchdi
Parametric Gr\"obner 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 with local orders. We mainly focus on the commutative case but we also
Externí odkaz:
http://arxiv.org/abs/math/0410220
Autor:
Bahloul, Rouchdi
Given a family of analytic functions near 0 \in C^n parametrized by a smooth space, we study the Bernstein polynomial of the fiber on an irreducible variety V of the space of parameters and we show that it is generically constant. We prove that this
Externí odkaz:
http://arxiv.org/abs/math/0410046
Autor:
Bahloul, Rouchdi
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 constructive proof of the result of C. Sabbah based on the notion of the an
Externí odkaz:
http://arxiv.org/abs/math/0406260
Autor:
Bahloul, Rouchdi
Let $f_1$ and $f_2$ be two semi-universal deformations of quasi homogeneous polynomials in two variables respectively for the weight vectors $\rho_1$ and $\rho_2$ such that they satisfy similar conditions to that of semi quasi homogeneous singulariti
Externí odkaz:
http://arxiv.org/abs/math/0311463
Autor:
Bahloul, Rouchdi
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 Gr\"obner fan of a parametric ide
Externí odkaz:
http://arxiv.org/abs/math/0310369
Autor:
Bahloul, Rouchdi
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 constructive proof of the result of C. Sabbah based on the notion of the an
Externí odkaz:
http://arxiv.org/abs/math/0307179