no. G4
Article de recherche - Géométrie algébrique
The Pinchuk example revisited
[L’exemple de Pinchuk revisité]
Fernandes, Filipe1 ; Jelonek, Zbigniew2, 3 
1Departamento de Matemática, Universidade Federal do Ceará, 60440-900 Fortaleza, Ceará, Brazil
2Instytut Matematyczny, Polska Akademia Nauk, Śniadeckich 8, 00-656 Warszawa, Poland
3Departamento de Matemática, Universidade Federal do Ceará, Rua Campus do Pici, s/n, Bloco 914, Pici, 60440-900, Fortaleza-CE, Brazil
Comptes Rendus. Mathématique, Tome 362 (2024) no. G4, 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.

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

Fernandes, Filipe  1   ; Jelonek, Zbigniew  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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Fernandes, Filipe; Jelonek, Zbigniew. The Pinchuk example revisited. Comptes Rendus. Mathématique, Tome 362 (2024) no. G4, pp. 449-452. doi: 10.5802/crmath.570

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