Comptes Rendus
Research article - Algebraic geometry
The Pinchuk example revisited
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.

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.

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.

Received:
Revised:
Accepted:
Published online:
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
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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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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