There are enough Azumaya algebras on surfaces |
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| Authors: | Stefan Schröer |
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| Affiliation: | Mathematische Fakult?t, Ruhr-Universit?t, 44780 Bochum, Germany, DE
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| Abstract: | Using Maruyama's theory of elementary transformations, I show that the Brauer group surjects onto the cohomological Brauer group for separated geometrically normal algebraic surfaces. As an application, I infer the existence of nonfree vector bundles on proper normal algebraic surfaces. Received: 14 April 2000 / Accepted: 26 February 2001 / Published online: 23 July 2001 |
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| Keywords: | Mathematics Subject Classification (1991): 13A20 14J17 14J60 16H05 |
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