Comptes Rendus
no. 4
Number Theory
Finiteness of Abelian fundamental groups with restricted ramification

Presented by: Michel Raynaud

Toshiro Hiranouchi1
1 Graduate School of Mathematics, Kyushu University 33, Fukuoka 812-8581, Japan
Comptes Rendus. Mathématique, Volume 341 (2005) no. 4, pp. 207-210.

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.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2005.07.001

Toshiro Hiranouchi 1

1 Graduate School of Mathematics, Kyushu University 33, Fukuoka 812-8581, Japan 
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Toshiro Hiranouchi. Finiteness of Abelian fundamental groups with restricted ramification. Comptes Rendus. Mathématique, Volume 341 (2005) no. 4, pp. 207-210. doi : 10.1016/j.crma.2005.07.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.07.001/

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