Brauer Groups in Ring Theory and Algebraic Geometry. Proc. Antwerp, 1981

Generic splitting fields....Pages 1-24
Crossed products over graded local rings....Pages 25-42
Brauer group and diophantine geometry: A cohomological approach....Pages 43-65
Brauer groups and class groups for a Krull domain....Pages 66-90
Some remarks on Brauer groups of Krull domains....Pages 91-95
Generic algebras....Pages 96-117
Splitting rings for azumaya quaternion algebras....Pages 118-125
Sur les decompositions des algebres a division en produit tensoriel d\'algebres cycliques....Pages 126-145
Local structure of maximal orders on surfaces....Pages 146-181
Left ideals in maximal orders....Pages 182-193
Brauer-Severi varieties....Pages 194-210
On the Brauer group of surfaces and subrings of k[x,y]....Pages 211-221
The Brauer groups in complex geometry....Pages 222-230
When is Br(X)=Br′(X)?....Pages 231-244
Quaternionic modules over ℙ 2 (ℝ)....Pages 245-259
The Brauer group of a quasi affine-scheme....Pages 260-278
A check list on Brauer groups....Pages 279-300