Categories of holomorphic line bundles on higher dimensional noncommutative complex tori

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dc.creatorKajiura, Hiroshige
dc.date2005-10-14
dc.date.accessioned2026-07-07T10:45:15Z
dc.date.available2026-07-07T10:45:15Z
dc.descriptionWe construct explicitly noncommutative deformations of categories of holomorphic line bundles over higher dimensional tori. Our basic tools are Heisenberg modules over noncommutative tori and complex/holomorphic structures on them introduced by A. Schwarz. We obtain differential graded (DG) categories as full subcategories of curved DG categories of Heisenberg modules over the complex noncommutative tori. Also, we present the explicit composition formula of morphisms, which in fact depends on the noncommutativity.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0510119
dc.identifierhttp://arxiv.org/abs/hep-th/0510119
dc.identifierJ.Math.Phys.48:053517,2007
dc.identifierdoi:10.1063/1.2719564
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182859
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.subjectQuantum Algebra
dc.titleCategories of holomorphic line bundles on higher dimensional noncommutative complex tori
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