On meromorphic functions defined by a differential system of order 1, II - Laboratoire Jean-Alexandre Dieudonné Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2006

On meromorphic functions defined by a differential system of order 1, II

Tristan Torrelli
  • Fonction : Auteur
  • PersonId : 833680

Résumé

Given a nonzero germ h of holomorphic function on (C^n,0), we study the condition: ``the ideal Ann_D 1/h is generated by operators of order 1''. When h defines a generic arrangement of hypersurfaces with an isolated singularity, we show that it is verified if and only if h is weighted homogeneous and -1 is the only integral root of its Bernstein-Sato polynomial. When h is a product, we give a process to test this last condition. Finally, we study some other related conditions.
Fichier principal
Vignette du fichier
redhyp.pdf (320.45 Ko) Télécharger le fichier
Loading...

Dates et versions

hal-00077568 , version 1 (31-05-2006)

Identifiants

Citer

Tristan Torrelli. On meromorphic functions defined by a differential system of order 1, II. 2006. ⟨hal-00077568⟩
50 Consultations
36 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More