Brauer Groups in Ring Theory and Algebraic Geometry: Proceedings, University of Antwerp U.I.A., Belgium, August 17–28, 1981

Description

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