Noninvariance of weak approximation properties under extension of the ground field
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Publication:6187390
DOI10.1307/mmj/20205984arXiv1805.08851OpenAlexW2804983546MaRDI QIDQ6187390
No author found.
Publication date: 15 January 2024
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.08851
Rational points (14G05) Varieties over global fields (11G35) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Global ground fields in algebraic geometry (14G25) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)
Cites Work
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- Pathologies of the Brauer-Manin obstruction
- Failure of the Hasse principle for Châtelet surfaces in characteristic 2
- The odd and even intersection properties
- The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields
- Insufficiency of the Brauer-Manin obstruction applied to étale covers
- Ranks of twists of elliptic curves and Hilbert's tenth problem
- Finite descent obstructions and rational points on curves
- Descent obstruction is equivalent to étale Brauer-Manin obstruction
- Existence of rational points on smooth projective varieties
- Descent obstruction and étale Brauer-Manin obstruction
- Heegner points and derivatives of \(L\)-series
- Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication
- On the conjecture of Birch and Swinnerton-Dyer
- Beyond the Manin obstruction. -- Appendix A by S. Siksek: 4-descent. -- Appendix B: The Grothendieck spectral sequence and the truncation functor
- Invariant Brauer subgroup and iterated descent obstruction
- Non-ramified Brauer group of homogeneous spaces with finite stabilisers
- Arithmetic purity of strong approximation for homogeneous spaces
- Singular curves and the étale Brauer-Manin obstruction for surfaces
- Sur le principe de Hasse et l'approximation faible, et sur une hypothèse de Schinzel
- Rational Points on Varieties
- Quelques propriétés d’approximation reliées à la cohomologie galoisienne d’un groupe algébrique fini
- Quantum stochastic Feynman rules and extended Wigner statistics
- Diophantine Approximation on Abelian Varieties in Characteristic p
- Large torsion subgroups of split Jacobians of curves of genus two or three
- Topological tameness of Margulis Spacetimes
- On the arithmetic of abelian varieties
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