ON A TROPICAL VERSION OF THE JACOBIAN CONJECTURE

Grigoriev, Dima; Radchenko, Danylo

Type de document :

Compte-rendu et recension critique d'ouvrage

Titre :

ON A TROPICAL VERSION OF THE JACOBIAN CONJECTURE

Auteur(s) :

Grigoriev, Dima [Auteur]
Centre National de la Recherche Scientifique [CNRS]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Radchenko, Danylo [Auteur]

Titre de la revue :

Journal of Symbolic Computation

Éditeur :

Elsevier

Date de publication :

2020

ISSN :

0747-7171

Discipline(s) HAL :

Mathématiques [math]

Résumé en anglais : [en]

We prove that, for a tropical rational map if for any point the convex hull of Jacobian matrices at smooth points in a neighborhood of the point does not contain singular matrices then the map is an isomorphism. We also ...
Lire la suite >We prove that, for a tropical rational map if for any point the convex hull of Jacobian matrices at smooth points in a neighborhood of the point does not contain singular matrices then the map is an isomorphism. We also show that a tropical polynomial map on the plane is an isomorphism if all the Jacobians have the same sign (positive or negative). In addition, for a tropical rational map we prove that if the Jacobians have the same sign and if its preimage is a singleton at least at one regular point then the map is an isomorphism.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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ON A TROPICAL VERSION OF THE JACOBIAN CONJECTURE

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