On abelian birational sections

DOI10.1090/S0894-0347-10-00660-0zbMath1209.14007arXiv0902.1143OpenAlexW1975335382MaRDI QIDQ3584361

Olivier Wittenberg, Hélène Esnault

Publication date: 27 August 2010

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1143

zbMATH Keywords

rational pointbirational section conjectureelementary obstruction

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Local ground fields in algebraic geometry (14G20) Algebraic cycles (14C25) Global ground fields in algebraic geometry (14G25)

Related Items (4)

Arithmetic of \(p\)-adic curves and sections of geometrically abelian fundamental groups ⋮ The cuspidalisation of sections of arithmetic fundamental groups ⋮ The Brauer-Manin obstruction for sections of the fundamental group ⋮ Descent Obstruction and Fundamental Exact Sequence

Cites Work

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• The elementary obstruction and homogeneous spaces
• On Albanese torsors and the elementary obstruction
• Théoremes de finitude en cohomologie galoisienne
• Duality theorems for curves over p-adic fields
• On the birational p-adic section conjecture
• Remarks on cycle classes of sections of the arithmetic fundamental group
• On the ‘Section Conjecture’ in anabelian geometry

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