On the birational anabelian program initiated by Bogomolov. I
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Publication:411387
DOI10.1007/s00222-011-0331-xzbMath1239.14025OpenAlexW2033648722MaRDI QIDQ411387
Publication date: 4 April 2012
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00222-011-0331-x
Coverings of curves, fundamental group (14H30) Surfaces and higher-dimensional varieties (14J99) Field arithmetic (12E30) Birational geometry (14E99)
Related Items (15)
Construction of unipotent Galois extensions and Massey products ⋮ Reconstructing function fields from rational quotients of mod-\(\ell \) Galois groups ⋮ The Galois action on geometric lattices and the mod-\(\ell \) I/OM ⋮ Galois Theory and Projective Geometry ⋮ Commuting-liftable subgroups of Galois groups. II ⋮ Galois groups and cohomological functors ⋮ Abelian-by-central Galois groups of fields I: A formal description ⋮ Finite tripod variants of I/OM. On Ihara's question/Oda-Matsumoto conjecture ⋮ Algebraic \(K\)-theory. Abstracts from the workshop held May 8--14, 2022 ⋮ Two-step nilpotent extensions are not anabelian ⋮ 2-nilpotent real section conjecture ⋮ Abelian-by-central Galois groups of fields. II: Definability of inertia/decomposition groups ⋮ Triple Massey products and Galois theory ⋮ Reconstructing function fields from Milnor \(K\)-theory ⋮ Heidelberg Lectures on Fundamental Groups
Cites Work
- Pro-\(\ell\) abelian-by-central Galois theory of prime divisors
- Inertia elements versus Frobenius elements
- Reconstruction of function fields
- Recovering function fields from their decomposition graphs
- Zur Theorie der Konstantenreduktion algebraischer Mannigfaltigkeiten. Invarianz des arithmetischen Geschlechts einer Mannigfaltikgeit und der virutellen Dimension ihrer Divisoren.
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