Tame coverings of arithmetic schemes, by Alexander Schmidt

Tame coverings of arithmetic schemes, by Alexander Schmidt

We extend the notion of a tame covering of a pair (X,D) where X is a regular scheme and D is a normal crossing divisor (cf. SGA1), to pairs (X,Y) where X is an arbitrary scheme and Y is a closed subset in X. We show that the abelianized tame fundamental group of a regular scheme which is flat and of finite type over Spec(Z) is finite and does not depend on the choice of a particular compactification.

tame.dvi (73580 bytes) [2000 May 31]
tame.dvi.gz (31222 bytes)
tame.ps.gz (95822 bytes)

Alexander Schmidt <schmidt@mathi.uni-heidelberg.de>