Titre :

Monodromies at infinity of non-tame polynomials

Auteur(s) :

Takeuchi, Kiyoshi [Auteur]
Institute of Mathematics, University of Tsukuba
Tibar, Mihai [Auteur]
Université de Lille, Sciences et Technologies
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Titre de la revue :

Bulletin de la SMF

Pagination :

477-506

Date de publication :

2016-08-18

Discipline(s) HAL :

Mathématiques [math]/Géométrie algébrique [math.AG]
Mathématiques [math]/Variables complexes [math.CV]

Résumé en anglais : [en]

We consider the monodromy at infinity and the monodromies around the bifurcation points of polynomial functions $f : \mathbb C^n \longrightarrow \mathbb C$ which are not tame and might have non-isolated singularities. Our ...
Lire la suite >We consider the monodromy at infinity and the monodromies around the bifurcation points of polynomial functions $f : \mathbb C^n \longrightarrow \mathbb C$ which are not tame and might have non-isolated singularities. Our description of their Jordan blocks in terms of the Newton polyhedra and the motivic Milnor fibers relies on two new issues: the non-atypical eigenvalues of the monodromies and the corresponding concentration results for their generalized eigenspaces.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Commentaire :

22 pages.

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Date de dépôt :

2025-01-24T10:15:56Z