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Comptes Rendus Mathématique
Volume 341, n° 4
pages 207-210 (août 2005)
Doi : 10.1016/j.crma.2005.07.001
Received : 2 May 2005 ;  accepted : 28 June 2005
Finiteness of Abelian fundamental groups with restricted ramification
Finitude des groupes fondamentaux abéliens avec ramification bornée
 

Toshiro Hiranouchi
Graduate School of Mathematics, Kyushu University 33, Fukuoka 812-8581, Japan 

Abstract

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. To cite this article: T. Hiranouchi, C. R. Acad. Sci. Paris, Ser. I 341 (2005).

The full text of this article is available in PDF format.
Résumé

Nous définissons un certain quotient du groupe fondamental étale dʼun 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. Pour citer cet article : T. Hiranouchi, C. R. Acad. Sci. Paris, Ser. I 341 (2005).

The full text of this article is available in PDF format.


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