Homomorphisms of multiplicative groups of fields preserving algebraic dependence

DOI10.1007/s40879-018-00312-5zbMath1431.14018arXiv1709.00639OpenAlexW2962930158WikidataQ128682592 ScholiaQ128682592MaRDI QIDQ2326956

Yuri Tschinkel, M. Z. Rovinskij, Fedor A. Bogomolov

Publication date: 10 October 2019

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

Full work available at URL: https://arxiv.org/abs/1709.00639

zbMATH Keywords

valuationsanabelian geometrysection conjecture

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Galois theory (11R32) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Higher symbols, Milnor (K)-theory (19D45) Rationality questions in algebraic geometry (14E08)

Related Items (2)

Two-step nilpotent extensions are not anabelian ⋮ Galois module structure of the units modulo \(p^m\) of cyclic extensions of degree \(p^n\)

Cites Work

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• ABELIAN SUBGROUPS OF GALOIS GROUPS
• Reconstruction of higher-dimensional function fields
• Galois Theory and Projective Geometry
• Collinearity-preserving functions between Desarguesian planes
• Collinearity-preserving functions between Desarguesian planes

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