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On the birational section conjecture with local conditions

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Publication:2514523
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DOI10.1007/s00222-014-0514-3zbMath1362.14030arXiv1203.3236OpenAlexW3099929817WikidataQ123305233 ScholiaQ123305233MaRDI QIDQ2514523

Jakob Stix

Publication date: 3 February 2015

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.3236


zbMATH Keywords

Belyi mapssection conjecture


Mathematics Subject Classification ID

Coverings of curves, fundamental group (14H30)


Related Items (3)

On the birational section conjecture with strong birationality assumptions ⋮ Two-step nilpotent extensions are not anabelian ⋮ Galois sections for abelian varieties over number fields



Cites Work

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  • Rational points and arithmetic of fundamental groups. Evidence for the section conjecture
  • Finite descent obstructions and rational points on curves
  • Monodromy and invariants of elliptic surfaces
  • Packets in Grothendieck's section conjecture
  • Galois rigidity of the étale fundamental groups of punctured projective lines.
  • Descent Obstruction and Fundamental Exact Sequence
  • On the ‘Section Conjecture’ in anabelian geometry


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