2-cocycles and Azumaya algebras under birational transformations of algebraic schemes
2-Cohomology of semi-simple simply connected group-schemes over curves defined over -adic fields
Let be a proper, smooth, geometrically connected curve over a -adic field . Lichtenbaum proved that there exists a perfect duality:between the Brauer and the Picard group of , from which he deduced the existence of an injection of in where and denotes the residual field of the point . The aim of this paper is to prove that if is an - scheme of semi-simple simply connected groups (s.s.s.c groups), then we can deduce from Lichtenbaum’s results the neutrality of every -gerb which...
2-torsion of the Brauer group of an elliptic curve: Generators and relations.
Группы Брауэра полей инвариантов алгебраических групп
Семичленная последовательность в теории Галуа колец
Семичленная последовательность в теории Галуа схем
Точные последовательности в теории Галуа колец