Vector bundles and torsion free sheaves on degenerations of elliptic curves

dc.creatorBodnarchuk, Lesya
dc.creatorBurban, Igor
dc.creatorDrozd, Yuriy
dc.creatorGreuel, Gert-Martin
dc.date2006-03-12
dc.date2006-06-12
dc.date.accessioned2026-07-07T07:06:46Z
dc.date.available2026-07-07T07:06:46Z
dc.descriptionIn this paper we give a survey about the classification of vector bundles and torsion free sheaves on degenerations of elliptic curves. Coherent sheaves on singular curves of arithmetic genus one can be studied using the technique of matrix problems or via Fourier-Mukai transforms, both methods are discussed here. Moreover, we include new proofs of some classical results about vector bundles on elliptic curves.
dc.description39 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0603261
dc.identifierhttp://arxiv.org/abs/math/0603261
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110149
dc.subjectAlgebraic Geometry
dc.titleVector bundles and torsion free sheaves on degenerations of elliptic curves
dc.typetext

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