On the birational p-adic section conjecture

DOI10.1112/S0010437X09004436zbMath1210.11072WikidataQ122879564 ScholiaQ122879564MaRDI QIDQ3567433

Florian Pop

Publication date: 17 June 2010

Published in: Compositio Mathematica (Search for Journal in Brave)

zbMATH Keywords

rational pointsvaluationsanabelian geometry\(p\)-adically closed fieldsétale fundamental groupsHilbert decomposition theorylocal-global principles for Brauer groups

Mathematics Subject Classification ID

Rational points (14G05) Curves over finite and local fields (11G20) Local ground fields in algebraic geometry (14G20) Coverings of curves, fundamental group (14H30) Field arithmetic (12E30)

Related Items (13)

Homotopic and geometric Galois theory. Abstracts from the workshop held March 7--13, 2021 (online meeting) ⋮ Commuting-liftable subgroups of Galois groups. II ⋮ On the \(p\)-adic section conjecture ⋮ The cuspidalisation of sections of arithmetic fundamental groups ⋮ 2-nilpotent real section conjecture ⋮ Arithmetic in the fundamental group of a \(p\)-adic curve. On the \(p\)-adic section conjecture for curves ⋮ The Brauer-Manin obstruction for sections of the fundamental group ⋮ On abelian birational sections ⋮ The metabelian birational -adic section conjecture for varieties ⋮ The cuspidalisation of sections of arithmetic fundamental groups. II ⋮ Heidelberg Lectures on Fundamental Groups ⋮ Descent Obstruction and Fundamental Exact Sequence ⋮ On 3-Nilpotent Obstructions to π1 Sections for $$ \mathbb{P}^{1}_\mathbb{Q}$$−{0,1, $$\infty$$}

Cites Work

• Splitting of Algebras by Function Fields of One Variable
• On the ‘Section Conjecture’ in anabelian geometry

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