On the elementary obstruction to the existence of rational points |
| |
Authors: | A N Skorobogatov |
| |
Institution: | 1. Institute for the Information Transmission Problems, Russian Academy of Sciences, Russia 2. Imperial College London, England
|
| |
Abstract: | The differentials of a certain spectral sequence converging to the Brauer-Grothendieck group of an algebraic variety X over an arbitrary field are interpreted as the ∪-product with the class of the so-called “elementary obstruction.” This class is closely related to the cohomology class of the first-degree Albanese variety of X. If X is a homogeneous space of an algebraic group, then the elementary obstruction can be described explicitly in terms of natural cohomological invariants of X. This reduces the calculation of the Brauer-Grothendieck group to the computation of a certain pairing in the Galois cohomology. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|