Descent Obstruction and Fundamental Exact Sequence

DOI10.1007/978-3-642-23905-2_7zbMath1315.14032arXiv1005.1302OpenAlexW1846426864MaRDI QIDQ5259212

David Harari, Jakob Stix

Publication date: 26 June 2015

Published in: The Arithmetic of Fundamental Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.1302

zbMATH Keywords

Brauer-Manin obstructionanabelian geometrydescent obstruction

Mathematics Subject Classification ID

Rational points (14G05) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Coverings of curves, fundamental group (14H30)

Related Items (9)

Godeaux-Serre varieties with prescribed arithmetic fundamental group ⋮ Iterating the algebraic étale-Brauer set ⋮ Birational \(p\)-adic Galois sections in higher dimensions ⋮ Weak approximation versus the Hasse principle for subvarieties of abelian varieties ⋮ The cuspidalisation of sections of arithmetic fundamental groups ⋮ Finite descent obstruction and non-abelian reciprocity ⋮ The Brauer-Manin obstruction for sections of the fundamental group ⋮ On the birational section conjecture with local conditions ⋮ Heidelberg Lectures on Fundamental Groups

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