There are enough Azumaya algebras on surfaces

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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.
13 pages, major revision, to appear in Math. Ann

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Algebraic Geometry, Commutative Algebra, 13A20, 14J17,14J60, 16H05

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http://salesiana.dossiersoluciones.com/handle/123456789/58951

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0003229
 http://arxiv.org/abs/math/0003229
 Math. Ann. 321 (2001), 439--454

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arXiv