Title :

Atypical points at infinity and algorithmic detection of the bifurcation locus of real polynomials

Author(s) :

Dias, Luis Renato G. [Auteur]
Federal University of Uberlândia [Uberlândia] [UFU]
Joiţa, Cezar [Auteur]
Institute of Mathematics of the Romanian Academy [Bucharest] [IMAR]
Tibăr, Mihai [Auteur]
Université de Lille
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Mathematische Zeitschrift

Pages :

1545-1558

Publisher :

Springer

Publication date :

2021-01-04

ISSN :

0025-5874

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

We show that the variation of the topology at infinity of a two-variable polynomial function islocalisable at a finite number of “atypical points” at infinity. We construct an effective algorithmwith low complexity in order ...
Show more >We show that the variation of the topology at infinity of a two-variable polynomial function islocalisable at a finite number of “atypical points” at infinity. We construct an effective algorithmwith low complexity in order to detect sharply the bifurcation values of the polynomialfunction.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL