Smallness of fundamental groups for arithmetic schemes

Details Smallness of fundamental groups for arithmetic schemes Smallness of fundamental groups for arithmetic schemes

2008-03-14

arxiv.org/abs/0803.2096v2

Mathematics

Number Theory

19 pages, v2:Introduction has been changed

Scientific paper

The smallness is proved of fundamental groups for arithmetic schemes. This is
a higher dimensional analogue of the Hermite-Minkowski theorem. We also refer
to the case of varieties over finite fields. As an application, we prove
certain finiteness results of representations of the fundamental groups over
algebraically closed fields.

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