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Finite descent obstruction and non-abelian reciprocity

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Publication:669230
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DOI10.1016/j.jnt.2018.12.007zbMath1447.11069arXiv1611.05341OpenAlexW2962830927MaRDI QIDQ669230

Otto Overkamp

Publication date: 20 March 2019

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.05341

zbMATH Keywords

rational pointsDiophantine geometryadelic pointsfinite descent obstruction


Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35) Arithmetic ground fields for abelian varieties (14K15)




Cites Work

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  • Rational points and arithmetic of fundamental groups. Evidence for the section conjecture
  • Finite descent obstructions and rational points on curves
  • Descent obstruction is equivalent to étale Brauer-Manin obstruction
  • Finiteness theorems for abelian varieties over number fields.
  • Profinite completion and generalizations of a theorem of Blackburn
  • The Frobenius and monodromy operators for curves and abelian varieties
  • Some consequences of the Riemann hypothesis for varieties over finite fields
  • On the descending central series of groups with a single defining relation
  • Descent Obstruction and Fundamental Exact Sequence
  • Diophantine Geometry and Non-abelian Reciprocity Laws I
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