no. 21-22
Algebraic Geometry
Birational permutations
[Bijections birationnelles]

Présenté par : Étienne Ghys

Cantat, Serge1
1 Département de mathématiques, Université de Rennes, 35042 Rennes, France
Comptes Rendus. Mathématique, Tome 347 (2009) no. 21-22, pp. 1289-1294.

Nous montrons que toute bijection de Pn(K), pour K un corps fini de caractéristique impaire, est induite par une transformation birationnelle sans point d'indétermination rationnel.

We prove that every permutation of Pn(K), where K is a finite field with odd characteristic, is induced by a birational transformation with no rational indeterminacy point.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.09.019
Cantat, Serge 1

1 Département de mathématiques, Université de Rennes, 35042 Rennes, France 
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Cantat, Serge. Birational permutations. Comptes Rendus. Mathématique, Tome 347 (2009) no. 21-22, pp. 1289-1294. doi : 10.1016/j.crma.2009.09.019. http://www.numdam.org/articles/10.1016/j.crma.2009.09.019/

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