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arXiv:0910.0605 [math.AG]AbstractReferencesReviewsResources

On the arithmetic fundamental groups

Feng-Wen An

Published 2009-10-04, updated 2009-12-20Version 2

In this paper we will define a qc fundamental group for an arithmetic scheme by quasi-galois closed covers. Then we will give a computation for such a group and will prove that the etale fundamental group of an arithmetic scheme is a normal subgroup in our qc fundamental group, which make up the main theorem of the paper. Hence, our group gives us a prior estimate of the etale fundamental group. The quotient group reflects the topological properties of the scheme.

Comments: 14 pages. Made changes in: convention 1.1; section 1.2; Definition 1.1; Remark 1.2
Categories: math.AG, math.NT
Subjects: 14F35, 11G35
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