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Affine Anabelian Curves in Positive Characteristic

Published online by Cambridge University Press:  04 December 2007

Jakob Stix
Jakob Stix
Affiliation:
Mathematisches Institut der Universität Bonn, Beringstraße 1, 53115 Bonn, Germany. stix@math.uni-bonn.de
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Abstract

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An investigation of morphisms that coincide topologically is used to generalize to all characteristics and partly reprove Tamagawa's theorem on the Grothendieck conjecture in anabelian geometry for affine hyperbolic curves. The theorem now deals with π1tame of curves over a finitely generated field and its effect on the sets of isomorphisms. Universal homeomorphisms are formally inverted.

Keywords

tame fundamental groupGrothendieck's anabelian conjecture
Type
Research Article
Information
Compositio Mathematica , Volume 134 , Issue 1 , October 2002 , pp. 75 - 85
Copyright
© 2002 Kluwer Academic Publishers