The defect of strong approximation for commutative algebraic groups
From MaRDI portal
Publication:1005879
DOI10.2140/ant.2008.2.595zbMath1194.14067OpenAlexW1970460490MaRDI QIDQ1005879
Publication date: 16 March 2009
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/ant.2008.2.595
Galois cohomology (12G05) Adèle rings and groups (11R56) Group schemes (14L15) Approximation in non-Archimedean valuations (11J61)
Related Items
The étale Brauer-Manin obstruction to strong approximation on homogeneous spaces ⋮ Strong approximation and descent ⋮ Very strong approximation for certain algebraic varieties ⋮ Brauer-Manin obstruction for integral points on Markoff-type cubic surfaces ⋮ Finite descent obstruction for curves over function fields ⋮ Counting integral points in certain homogeneous spaces ⋮ On the Diophantine equation \(x^2 - Dy^2 = n\) ⋮ Approximation forte sur un produit de variétés abéliennes épointé en des points de torsion ⋮ Strong Approximation with Brauer–Manin Obstruction for Toric Varieties ⋮ Comparing descent obstruction and Brauer-Manin obstruction for open varieties ⋮ On the sum of two integral squares in the imaginary quadratic field \(\mathbb Q(\sqrt {-2p})\) ⋮ Diophantine equations defined by binary quadratic forms over rational function fields ⋮ Zéro-cycles sur les espaces homogènes et problème de Galois inverse ⋮ Approximation forte pour les variétés avec une action d’un groupe linéaire ⋮ Lifting, restricting and sifting integral points on affine homogeneous varieties ⋮ Strong approximation for a toric variety ⋮ The Brauer–Manin obstruction for integral points on curves ⋮ Arithmetic purity of strong approximation for semi-simple simply connected groups ⋮ The adelic space of a torus over a function field ⋮ Arithmetic purity of strong approximation for homogeneous spaces
