Brauer Groups in Ring Theory and Algebraic Geometry

Brauer Groups in Ring Theory and Algebraic Geometry Proceedings, University of Antwerp U.I.A., Belgium, August 17–28, 1981 / [electronic resource] : edited by Freddy M. J. van Oystaeyen, Alain H. M. J. Verschoren. - X, 300 p. online resource. - Lecture Notes in Mathematics, 917 0075-8434 ; . - Lecture Notes in Mathematics, 917 .

Generic splitting fields -- Crossed products over graded local rings -- Brauer group and diophantine geometry: A cohomological approach -- Brauer groups and class groups for a Krull domain -- Some remarks on Brauer groups of Krull domains -- Generic algebras -- Splitting rings for azumaya quaternion algebras -- Sur les decompositions des algebres a division en produit tensoriel d'algebres cycliques -- Local structure of maximal orders on surfaces -- Left ideals in maximal orders -- Brauer-Severi varieties -- On the Brauer group of surfaces and subrings of k[x,y] -- The Brauer groups in complex geometry -- When is Br(X)=Br?(X)? -- Quaternionic modules over ?2 (?) -- The Brauer group of a quasi affine-scheme -- A check list on Brauer groups.

9783540390572

10.1007/BFb0092224 doi


Group theory.
Geometry, algebraic.
Group Theory and Generalizations.
Algebraic Geometry.

QA174-183

512.2
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