no. 4
Number Theory
Finiteness of Abelian fundamental groups with restricted ramification
[Finitude des groupes fondamentaux abéliens avec ramification bornée]

Présenté par : Michel Raynaud

Hiranouchi, Toshiro1
1 Graduate School of Mathematics, Kyushu University 33, Fukuoka 812-8581, Japan
Comptes Rendus. Mathématique, Tome 341 (2005) no. 4, pp. 207-210.

Nous définissons un certain quotient du groupe fondamental étale d'un schéma qui classifie les revêtements étales à ramification bornée le long du bord, et démontrons la finitude de ce groupe rendu abélien pour un schéma arithmétique.

We define a certain quotient of the étale fundamental group of a scheme which classifies étale coverings with bounded ramification along the boundary, and show the finiteness of the abelianization of this group for an arithmetic scheme.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2005.07.001
Hiranouchi, Toshiro 1

1 Graduate School of Mathematics, Kyushu University 33, Fukuoka 812-8581, Japan 
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Hiranouchi, Toshiro. Finiteness of Abelian fundamental groups with restricted ramification. Comptes Rendus. Mathématique, Tome 341 (2005) no. 4, pp. 207-210. doi : 10.1016/j.crma.2005.07.001. http://www.numdam.org/articles/10.1016/j.crma.2005.07.001/

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