Picard and Brauer Groups of Zariski Schemes

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jul 1986Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 97, page 379 (issn: 0002-9939,

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Authors: Blass, Piotr; Hoobler, Raymond;

doi: 10.2307/2046221 , 10.1090/s0002-9939-1986-0840613-9

Picard and Brauer Groups of Zariski Schemes

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Abstract

The Cartier-Yuan exact sequence is used to calculate Picard groups and Brauer groups of Zariski surfaces and their generalizations. A result of Blass-Deligne on the factoriality of general affine Zariski surfaces is extended to all higher dimensional Zariski schemes.

Related Organizations

City College of New York
United States
University of Arkansas at Fayetteville
United States
City University of New York
United States

Keywords

Étale and other Grothendieck topologies and (co)homologies, Picard groups, Brauer groups of schemes, Brauer groups

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