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The Grothendieck conjecture for affine curves

  • AKIO TAMAGAWA (a1)
  • DOI: http://dx.doi.org/10.1023/A:1000114400142
  • Published online: 01 August 1997
Abstract

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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Compositio Mathematica
  • ISSN: 0010-437X
  • EISSN: 1570-5846
  • URL: /core/journals/compositio-mathematica
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