Galois Theory and Projective Geometry

DOI10.1002/cpa.21466zbMath1311.11105arXiv1112.4634OpenAlexW2170096877MaRDI QIDQ5325963

Yuri Tschinkel, Fedor A. Bogomolov

Publication date: 31 July 2013

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4634

zbMATH Keywords

Bloch-Kato conjecturebirational an abelian geometrycentral descending series

Mathematics Subject Classification ID

Galois theory (11R32) Projective techniques in algebraic geometry (14N05) (K)-theory of global fields (11R70)

Related Items (6)

Oriented pro-\(\ell\) groups with the Bogomolov-Positselski property ⋮ Arithmetic deformation theory via arithmetic fundamental groups and non-Archimedean theta-functions, notes on the work of Shinichi Mochizuki ⋮ Galois module structure of the units modulo \(p^m\) of cyclic extensions of degree \(p^n\) ⋮ Triple Massey products and Galois theory ⋮ On graphs and valuations. ⋮ Homomorphisms of multiplicative groups of fields preserving algebraic dependence

Cites Work

• On the birational anabelian program initiated by Bogomolov. I
• Quotients of absolute Galois groups which determine the entire Galois cohomology
• Reconstruction of function fields
• Kommutative Inzidenzgruppen
• Isomorphisms of Galois groups of algebraic function fields
• Endomorphisms of Abelian varieties over finite fields
• Kennzeichnung der p-adischen und der endlichen algebraischen Zahlkörper
• Absolute Galois groups viewed from small quotients and the Bloch-Kato conjecture
• Galois rigidity of the étale fundamental groups of punctured projective lines.
• Reconstruction of higher-dimensional function fields
• Koszul property and Bogomolov's conjecture
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