17 citations · 63 across the 39 of their papers we have counts for
4 papers · 1 filter
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…
Vanishing of algebraic Brauer-Manin obstructions
Mikhail Borovoi
Let X be a homogeneous space of a quasi-trivial k-group G, with geometric stabilizer H, over a number field k. We prove that under certain conditions on the character group of H, c…
Extended equivariant Picard complexes and homogeneous spaces
Mikhail Borovoi, Joost van Hamel
Let k be a field of characteristic 0 and let X be a smooth geometrically integral k-variety. In our previous paper we defined the extended Picard complex UPic(X) as a certain compl…
Toric-friendly groups
Mikhail Borovoi, Zinovy Reichstein
Let G be a connected linear algebraic group over a field k. We say that G is toric-friendly if for any field extension K/k and any maximal K-torus T in G the group G(K) has only on…