Comptes Rendus
Article de recherche - Géométrie algébrique
The Pinchuk example revisited
[L’exemple de Pinchuk revisité]
Filipe Fernandes1 ; Zbigniew Jelonek2, 3 
1 Departamento de Matemática, Universidade Federal do Ceará, 60440-900 Fortaleza, Ceará, Brazil
2 Instytut Matematyczny, Polska Akademia Nauk, Śniadeckich 8, 00-656 Warszawa, Poland
3 Departamento de Matemática, Universidade Federal do Ceará, Rua Campus do Pici, s/n, Bloco 914, Pici, 60440-900, Fortaleza-CE, Brazil
Comptes Rendus. Mathématique, Volume 362 (2024), pp. 449-452.

Dans cette note, nous fournissons deux contre-exemples spéciaux à la forte conjecture jacobienne réelle  ; le premier est surjectif, le second a une image non dense.

In this note we provide two special counterexamples to the strong real Jacobian Conjecture; the first one is surjective, the second one has non-dense image.

Reçu le :
Révisé le :
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DOI : 10.5802/crmath.570
Classification : 14R15, 14P99

Filipe Fernandes 1 ; Zbigniew Jelonek 2, 3

1 Departamento de Matemática, Universidade Federal do Ceará, 60440-900 Fortaleza, Ceará, Brazil
2 Instytut Matematyczny, Polska Akademia Nauk, Śniadeckich 8, 00-656 Warszawa, Poland
3 Departamento de Matemática, Universidade Federal do Ceará, Rua Campus do Pici, s/n, Bloco 914, Pici, 60440-900, Fortaleza-CE, Brazil
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {The {Pinchuk} example revisited},
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Filipe Fernandes; Zbigniew Jelonek. The Pinchuk example revisited. Comptes Rendus. Mathématique, Volume 362 (2024), pp. 449-452. doi : 10.5802/crmath.570. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.570/

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