no. 6
Rigidity of Oeljeklaus–Toma manifolds
[Rigidité de variétés de Oeljeklaus–Toma]
Angella, Daniele1 ; Parton, Maurizio2 ; Vuletescu, Victor3
1 Dipartimento di Matematica e Informatica “Ulisse Dini” Università degli Studi di Firenze viale Morgagni 67/a 50134 Firenze (Italy)
2 Dipartimento di Economia Università di Chieti-Pescara viale della Pineta 4 65129 Pescara (Italy)
3 Faculty of Mathematics and Informatics University of Bucharest Academiei st. 14 Bucharest (Romania)
Annales de l'Institut Fourier, Tome 70 (2020) no. 6, pp. 2409-2423.

Nous montrons que les variétés de Oeljeklaus–Toma de type simple sont rigides, et que tous les fibrés en droites sur une variété de Oeljeklaus–Toma sont plats.

We prove that Oeljeklaus–Toma manifolds of simple type are rigid, and that any line bundle on an Oeljeklaus–Toma manifold is flat.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/aif.3387
Classification : 32J18, 32L10, 58H15
Keywords: Oeljeklaus–Toma manifold, flat line bundle, deformation, rigidity
Mot clés : variétés de Oeljeklaus–Toma, fibré en droites plat, déformation, rigidité
Angella, Daniele 1 ; Parton, Maurizio 2 ; Vuletescu, Victor 3

1 Dipartimento di Matematica e Informatica “Ulisse Dini” Università degli Studi di Firenze viale Morgagni 67/a 50134 Firenze (Italy)
2 Dipartimento di Economia Università di Chieti-Pescara viale della Pineta 4 65129 Pescara (Italy)
3 Faculty of Mathematics and Informatics University of Bucharest Academiei st. 14 Bucharest (Romania)
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Angella, Daniele; Parton, Maurizio; Vuletescu, Victor. Rigidity of Oeljeklaus–Toma manifolds. Annales de l'Institut Fourier, Tome 70 (2020) no. 6, pp. 2409-2423. doi : 10.5802/aif.3387. https://aif.centre-mersenne.org/articles/10.5802/aif.3387/

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