Classification of holomorphic vector bundles on noncommutative two-tori

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dc.creatorPolishchuk, Alexander
dc.date2003-08-14
dc.date.accessioned2026-07-07T05:00:23Z
dc.date.available2026-07-07T05:00:23Z
dc.descriptionWe prove that every holomorphic vector bundle on a noncommutative two-torus $T$ can be obtained by successive extensions from standard holomorphic bundles considered in math.QA/0211262. This implies that the category of holomorphic bundles on $T$ is equivalent to the heart of certain $t$-structure on the derived category of coherent sheaves on an elliptic curve.
dc.descriptionAMSLatex, 18 pages
dc.identifierhttps://arxiv.org/abs/math/0308136
dc.identifierhttp://arxiv.org/abs/math/0308136
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68312
dc.subjectQuantum Algebra
dc.subjectAlgebraic Geometry
dc.titleClassification of holomorphic vector bundles on noncommutative two-tori
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