Holomorphic vector bundles on non-algebraic surfaces

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dc.creatorTeleman, Andrei
dc.creatorToma, Matei
dc.date2002-01-24
dc.date.accessioned2026-07-07T04:46:05Z
dc.date.available2026-07-07T04:46:05Z
dc.descriptionThe existence problem for holomorphic structures on vector bundles over non-algebraic surfaces is in general still open. We solve this problem in the case of rank 2 vector bundles over K3 surfaces and in the case of vector bundles of arbitrary rank over all known surfaces of class VII. Our methods, which are based on Donaldson theory and deformation theory, can be used to solve the existence problem of holomorphic vector bundles on further classes of non-algebraic surfaces.
dc.descriptionLaTeX, 6 pages, to appear in Comptes Rendus
dc.identifierhttps://arxiv.org/abs/math/0201236
dc.identifierhttp://arxiv.org/abs/math/0201236
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63195
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject32L05, 32L10, 32Q15, 32Q57
dc.titleHolomorphic vector bundles on non-algebraic surfaces
dc.typetext

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