Weak approximation and non-abelian fundamental groups

DOI10.1016/S0012-9593(00)00118-XzbMath1073.14522MaRDI QIDQ2769906

No author found.

Publication date: 12 January 2004

Published in: Annales Scientifiques de l'à cole Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2000_4_33_4_467_0

Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35) Brauer groups of schemes (14F22) Global ground fields in algebraic geometry (14G25)

Related Items

On the Hilbert property and the fundamental group of algebraic varieties ⋮ Evaluating the wild Brauer group ⋮ Algebraic families of nonzero elements of Shafarevich-Tate groups ⋮ Descent obstruction is equivalent to étale Brauer-Manin obstruction ⋮ Descent Obstruction and Fundamental Exact Sequence

Cites Work

• La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
• Beyond the Manin obstruction. -- Appendix A by S. Siksek: 4-descent. -- Appendix B: The Grothendieck spectral sequence and the truncation functor
• Density of rational points on Enriques surfaces
• Rational points on quartics
• Brauer-Manin obstruction to weak approximation on abelian varieties
• Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
• Rational Points of Abelian Varieties Over Function Fields
• Every algebraic Kummer surface is the K3-cover of an Enriques surface
• Approximation Theory and the Rank of Abelian Varieties Over Large Algebraic Fields
• Starke Approximation in algebraischen Gruppen. I.
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