There are enough Azumaya algebras on surfaces

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dc.creatorSchroeer, Stefan
dc.date2000-03-31
dc.date2001-04-04
dc.date.accessioned2026-07-07T04:34:34Z
dc.date.available2026-07-07T04:34:34Z
dc.descriptionUsing 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.
dc.description13 pages, major revision, to appear in Math. Ann
dc.identifierhttps://arxiv.org/abs/math/0003229
dc.identifierhttp://arxiv.org/abs/math/0003229
dc.identifierMath. Ann. 321 (2001), 439--454
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58951
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject13A20, 14J17,14J60, 16H05
dc.titleThere are enough Azumaya algebras on surfaces
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