On different notions of tameness in arithmetic geometry

Kerz, Moritz and Schmidt, Alexander (2010) On different notions of tameness in arithmetic geometry. MATHEMATISCHE ANNALEN, 346 (3). pp. 641-668. ISSN 0025-5831, 1432-1807

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Abstract

The notion of a tamely ramified covering is canonical only for curves. Several notions of tameness for coverings of higher dimensional schemes have been used in the literature. We show that all these definitions are essentially equivalent. Furthermore, we prove finiteness theorems for the tame fundamental groups of arithmetic schemes.

Item Type: Article
Uncontrolled Keywords: SCHEMES;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Moritz Kerz
Depositing User: Dr. Gernot Deinzer
Date Deposited: 05 Aug 2020 09:52
Last Modified: 05 Aug 2020 09:52
URI: https://pred.uni-regensburg.de/id/eprint/25102

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