### 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.

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