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math.NT2010
A cohomological obstruction to weak approximation for homogeneous spaces
Mikhail Borovoi, Tomer M. Schlank
Let X be a homogeneous space, X = G/H, where G is a connected linear algebraic group over a number field k, and H is a k-subgroup of G (not necessarily connected). Let S be a finit…
math.AG2010★ 1 cited
The Étale Homotopy Type and Obstructions to the Local-Global Principle
Yonatan Harpaz, Tomer M. Schlank
In 1969 Artin and Mazur defined the étale homotopy type of an algebraic variety \cite{AMa69}. In this paper we define various obstructions to the local-global principle on a variet…