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.
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Toshiro Hiranouchi 1
@article{CRMATH_2005__341_4_207_0, author = {Toshiro Hiranouchi}, title = {Finiteness of {Abelian} fundamental groups with restricted ramification}, journal = {Comptes Rendus. Math\'ematique}, pages = {207--210}, publisher = {Elsevier}, volume = {341}, number = {4}, year = {2005}, doi = {10.1016/j.crma.2005.07.001}, language = {en}, }
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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