Démonstration constructive de l'existence de polynômes de Bernstein-Sato pour plusieurs fonctions analytiques
Bahloul, Rouchdi
HAL, hal-00000497 / Harvested from HAL
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 analytic Gröbner fan of a D-module.
Publié le : 2003-07-11
Classification:  Bernstein-Sato polynomial,  analytic Gröbner fan,  V-filtration,  16S32; 13P10; 16W50; 16W70,  [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA]
@article{hal-00000497,
     author = {Bahloul, Rouchdi},
     title = {D\'emonstration constructive de l'existence de polyn\^omes de Bernstein-Sato pour plusieurs fonctions analytiques},
     journal = {HAL},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00000497}
}
Bahloul, Rouchdi. Démonstration constructive de l'existence de polynômes de Bernstein-Sato pour plusieurs fonctions analytiques. HAL, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/hal-00000497/