Reconstruction of function fields

DOI10.1007/s00039-008-0665-8zbMath1155.14016arXivmath/0303075OpenAlexW2119948034MaRDI QIDQ938226

Yuri Tschinkel, Fedor A. Bogomolov

Publication date: 18 August 2008

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303075

zbMATH Keywords

surfacefunction fieldGalois groupprojective structureflag mapL-adic analysispro-L-quotient

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32)

Related Items (14)

A birational anabelian reconstruction theorem for curves over algebraically closed fields in arbitrary characteristic ⋮ Reconstructing function fields from rational quotients of mod-\(\ell \) Galois groups ⋮ Galois Theory and Projective Geometry ⋮ Commuting-liftable subgroups of Galois groups. II ⋮ Abelian-by-central Galois groups of fields I: A formal description ⋮ On the birational anabelian program initiated by Bogomolov. I ⋮ Two-step nilpotent extensions are not anabelian ⋮ Galois module structure of the units modulo \(p^m\) of cyclic extensions of degree \(p^n\) ⋮ 2-nilpotent real section conjecture ⋮ Quotients of absolute Galois groups which determine the entire Galois cohomology ⋮ Abelian-by-central Galois groups of fields. II: Definability of inertia/decomposition groups ⋮ On graphs and valuations. ⋮ Homomorphisms of multiplicative groups of fields preserving algebraic dependence ⋮ Heidelberg Lectures on Fundamental Groups

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