Prime to p Fundamental Groups, and Tame Galois Actions
Research Report 98-12
Date: 30 April 1998
We show that for a local, discretely valued field F with residue
characteristic p and a variety U over F, the map from the absolute Galois
group of F to the outer automorphisms of the prime to p geometric etale
fundamental group of U maps the wild inertia onto a finite image. We show
that under favourable conditions this map depends only on the reduction of U
modulo a power of the maximal ideal of F.
etale fundamental group. logarithmic structure.
AMS Subject Classification (1991)
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Sydney Mathematics and Statistics