TY  - GEN
AV  - public
N2  - On arithmetic surfaces over local or global rings of integers this thesis examines whether a geometric point has a basis of étale neighborhoods which are aspherical with respect to a full class of finite groups c. In this thesis we will consider only classes of finite groups c such that the order of all groups in c is prime to the residue characteristics of the arithmetic surface in question. In the local case we construct a basis of aspherical neighborhoods for any geometric point of a normal (but not necessarily regular) arithmetic surface. In the global case the existence of such bases of neighborhoods is proven under additional regularity assumptions and a condition on the l-division points of the Jacobian of the generic fibre. Moreover, we assume in the global case case that c is the class of finite l-groups for a prime number l that is invertible on the arithmetic surface.
A1  - Hübner, Katharina
ID  - heidok20585
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/20585/
Y1  - 2016/04/22/
TI  - Aspherical neighborhoods on arithmetic surfaces
ER  -