Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 46, No. 2, pp. 423-434 (2005)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 46, No. 2, pp. 423-434 (2005) |
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Fourier-Mukai transforms and stable bundles on elliptic curvesGeorg Hein and David PloogFreie Universität Berlin, Institut für Mathematik II, Arnimallee 3, D-14195 Berlin (Germany), e-mail: ghein@math.fu-berlin.de e-mail: ploog@math.fu-berlin.deAbstract: We prove Atiyah's classification results about indecomposable vector bundles on an elliptic curve by applying the Fourier-Mukai transform. We extend our considerations to semistable bundles and construct the universal stable sheaves. Keywords: Fourier-Mukai transform, semistability, vector bundle, elliptic curve Classification (MSC2000): 14H60, 14H52 Full text of the article:
Electronic version published on: 18 Oct 2005. This page was last modified: 29 Dec 2008.
© 2005 Heldermann Verlag
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