Lecture Notes in Mathematics

Proceedings, University of Antwerp U.I.A., Belgium, August 17-28, 1981

By: F. Van Oystaeyen (Editor), A. Verschoren (Editor)

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Paperback | 1 March 1982

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312 Pages

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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.

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