The Grothendieck conjecture for affine curves

AKIO TAMAGAWA

doi:10.1023/A:1000114400142

Abstract

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We prove that the isomorphism class of an affine hyperbolic curve defined over a field finitely generated over ${\bb Q}$ is completely determined by its arithmetic fundamental group. We also prove a similar result for an affine curve defined over a finite field.

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The Grothendieck conjecture for affine curves

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