MULTIPLICATIVE GROUP COMPLEXES AND UNRAMIFIED BRAUER GROUP OF HOMOGENEOUS SPACES

作者:Borovoi Mikhail*; Demarche Cyril; Harari David
来源:Annales Scientifiques de l'Ecole Normale Superieure, 2013, 46(4): 651-692.

摘要

We compute by arithmetic methods the unramified Brauer group of homogeneous spaces of linear algebraic groups over various fields. We get formulae in terms of hypercohomology of complexes of groups of multiplicative type.

  • 出版日期2013-8