Brauer groups in ring theory and algebraic geometry : proceedings, University of Antwerp, U.I.A., Belgium, August 17-28, 1981

書誌事項

Brauer groups in ring theory and algebraic geometry : proceedings, University of Antwerp, U.I.A., Belgium, August 17-28, 1981

edited by F. van Oystaeyen and A. Verschoren

(Lecture notes in mathematics, 917)

Springer-Verlag, 1982

  • : Berlin
  • : New York

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注記

Includes bibliographies and index

内容説明・目次

目次

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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