Birational \(p\)-adic Galois sections in higher dimensions

DOI10.1007/s11856-012-0189-7zbMath1306.14007arXiv1202.2781OpenAlexW2105723172MaRDI QIDQ375496

Jakob Stix

Publication date: 31 October 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2781

zbMATH Keywords

arithmetic fundamental groupanabelian geometrybirational section conjecture

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Coverings of curves, fundamental group (14H30) General valuation theory for fields (12J20)

Related Items (1)

The metabelian birational -adic section conjecture for varieties

Cites Work

• Unnamed Item
• Rational points and arithmetic of fundamental groups. Evidence for the section conjecture
• Finite descent obstructions and rational points on curves
• Formally \(p\)-adic fields
• Fields with two incomparable Henselian valuation rings
• Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
• Abelian varieties over \(p\)-adic ground fields
• Projective group structures as absolute Galois structures with block approximation
• Galoissche Kennzeichnung p-adisch abgeschlossener Körper.
• From p-rigid elements to valuations (with a Galois-characterization of p-adic fields).
• Descent Obstruction and Fundamental Exact Sequence
• On the ‘Section Conjecture’ in anabelian geometry

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