Birational permutations

Serge Cantat

doi:10.1016/j.crma.2009.09.019

Algebraic Geometry

Birational permutations
[Bijections birationnelles]

Présenté par : Étienne Ghys

Serge Cantat ¹

¹ Département de mathématiques, Université de Rennes, 35042 Rennes, France

Comptes Rendus. Mathématique, Volume 347 (2009) no. 21-22, pp. 1289-1294.

Résumé
Abstract

Nous montrons que toute bijection de $P^{n} (K)$ , 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 $P^{n} (K)$ , where K is a finite field with odd characteristic, is induced by a birational transformation with no rational indeterminacy point.

Reçu le : 2009-08-26
Accepté le : 2009-09-21
Publié le : 2009-10-09

DOI : 10.1016/j.crma.2009.09.019

Affiliations des auteurs :

Serge Cantat ¹

¹ Département de mathématiques, Université de Rennes, 35042 Rennes, France

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     title = {Birational permutations},
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Serge Cantat. Birational permutations. Comptes Rendus. Mathématique, Volume 347 (2009) no. 21-22, pp. 1289-1294. doi : 10.1016/j.crma.2009.09.019. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.09.019/

Bibliographie
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