ON A TROPICAL VERSION OF THE JACOBIAN CONJECTURE

Grigoriev, Dima; Radchenko, Danylo

Type de document :

Communication dans un congrès avec actes

Titre :

ON A TROPICAL VERSION OF THE JACOBIAN CONJECTURE

Auteur(s) :

Grigoriev, Dima [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Radchenko, Danylo [Auteur]
Max Planck Institute for Mathematics [MPIM]

Titre de la manifestation scientifique :

MEGA 2019 - International Conference on Effective Methods in Algebraic Geometry

Ville :

Madrid

Pays :

Espagne

Date de début de la manifestation scientifique :

2019-06-17

Date de publication :

2019

Discipline(s) HAL :

Informatique [cs]
Informatique [cs]/Géométrie algorithmique [cs.CG]

Résumé en anglais : [en]

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

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

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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