Recovering function fields from their decomposition graphs

DOI10.1007/978-1-4614-1260-1_24zbMath1309.12004OpenAlexW90400718MaRDI QIDQ2914183

Florian Pop

Publication date: 25 September 2012

Published in: Number Theory, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-1260-1_24

zbMATH Keywords

function fieldsGalois theoryanabelian geometrydecomposition graphs(Riemann) space of prime divisorsHilbert decomposition theoryParshin chainspro-\(\ell \) groupsvaluations theory

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Algebraic functions and function fields in algebraic geometry (14H05) Field arithmetic (12E30)

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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 ⋮ The Galois action on geometric lattices and the mod-\(\ell \) I/OM ⋮ On the birational anabelian program initiated by Bogomolov. I ⋮ Algebraic \(K\)-theory. Abstracts from the workshop held May 8--14, 2022 ⋮ Abelian-by-central Galois groups of fields. II: Definability of inertia/decomposition groups

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