no. 2
Uniqueness of birational structures on Inoue surfaces
[Unicité des structures birationnelles sur les surfaces d’Inoue]
Zhao, Shengyuan1
1 Institute for Mathematical Sciences, Stony Brook University, Stony Brook NY 11794-3660 (USA)
Annales de l'Institut Fourier, Tome 73 (2023) no. 2, pp. 873-917.

Nous prouvons que la (Aff 2 (C),C 2 )-structure naturelle sur une surface d’Inoue est l’unique (Bir(ℙ 2 ),ℙ 2 (C))-structure. Ceci généralise un résultat de Bruno Klingler qui affirme que la (Aff 2 (C),C 2 )-structure est l’unique (PGL 3 (C),ℙ 2 (C))-structure.

We prove that the natural (Aff 2 (C),C 2 )-structure on an Inoue surface is the unique (Bir(ℙ 2 ),ℙ 2 (C))-structure, generalizing a result of Bruno Klingler which asserts that the natural (Aff 2 (C),C 2 )-structure is the unique (PGL 3 (C),ℙ 2 (C))-structure.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/aif.3537
Classification : 57M50, 14E07
Keywords: Inoue surfaces, birational structures, Cremona group
Mot clés : surfaces d’Inoue, structures birationnelles, groupe de Cremona

Zhao, Shengyuan 1

1 Institute for Mathematical Sciences, Stony Brook University, Stony Brook NY 11794-3660 (USA)
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Zhao, Shengyuan. Uniqueness of birational structures on Inoue surfaces. Annales de l'Institut Fourier, Tome 73 (2023) no. 2, pp. 873-917. doi : 10.5802/aif.3537. https://aif.centre-mersenne.org/articles/10.5802/aif.3537/

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