Affine anabelian curves in positive characteristic

Details Affine anabelian curves in positive characteristic Affine anabelian curves in positive characteristic

2002-06-18

arxiv.org/abs/math/0206188v1

Mathematics

Algebraic Geometry

LaTeX, 10 pages, to appear in Compositio Mathematica

Scientific paper

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 \pi^{tame} of curves over a finitely generated field and its effect on the set of isomorphisms. Universal homeomorphisms are formally inverted.

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