A COHOMOLOGICAL OBSTRUCTION TO WEAK APPROXIMATION FOR HOMOGENEOUS SPACES

作者：Borovoi Mikhail^*; Schlank Tomer M

来源：Moscow Mathematical Journal, 2012, 12(1): 1-20.

• Brauer-Manin obstruction
• weak approximation
• homogeneous spaces
• linear algebraic groups
• Brauer group
• Galois cohomology

Let X be a homogeneous space, X = G/H, where G is a connected linear algebraic group over a number field k and H subset of C is a k-subgroup (not necessarily connected). Let S be a finite set of places of k. We compute a Brauer-Manin obstruction to weak approximation for X in S in terms of Galois cohomology.

• 出版日期2012