Title :

Monodromies at infinity of non-tame polynomials

Author(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]

Journal title :

Bulletin de la SMF

Pages :

477-506

Publication date :

2016-08-18

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

Comment :

22 pages.

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL