Descent obstruction is equivalent to étale Brauer-Manin obstruction
From MaRDI portal
Publication:1024189
DOI10.1007/s00208-008-0314-4zbMath1180.14017OpenAlexW2151652950WikidataQ57395844 ScholiaQ57395844MaRDI QIDQ1024189
Publication date: 16 June 2009
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-008-0314-4
Group actions on varieties or schemes (quotients) (14L30) Rational points (14G05) (K3) surfaces and Enriques surfaces (14J28) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Global ground fields in algebraic geometry (14G25)
Related Items (9)
Pathologies of the Brauer-Manin obstruction ⋮ The étale Brauer-Manin obstruction to strong approximation on homogeneous spaces ⋮ Iterating the algebraic étale-Brauer set ⋮ Noninvariance of weak approximation properties under extension of the ground field ⋮ Invariant Brauer subgroup and iterated descent obstruction ⋮ Comparing descent obstruction and Brauer-Manin obstruction for open varieties ⋮ Finite descent obstruction and non-abelian reciprocity ⋮ Insufficiency of the Brauer-Manin obstruction applied to étale covers ⋮ Étale Brauer-Manin obstruction for Weil restrictions
Cites Work
- Insufficiency of the Brauer-Manin obstruction applied to étale covers
- Finite descent obstructions and rational points on curves
- Descent obstruction and étale Brauer-Manin obstruction
- Beyond the Manin obstruction. -- Appendix A by S. Siksek: 4-descent. -- Appendix B: The Grothendieck spectral sequence and the truncation functor
- Abelianization of the second nonabelian Galois cohomology
- Algebraic groups and rational points
- Weak approximation and non-abelian fundamental groups
- A finiteness theorem for the Brauer group of abelian varieties and 𝐾3 surfaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Descent obstruction is equivalent to étale Brauer-Manin obstruction
