Preprint No. A-03-11

Georg Hein and David Ploog

Stable bundles and Fourier-Mukai transforms on elliptic curves

Abstract: 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

Mathematics Subject Classification (MSC2000): 14H60, 14H52

Language: ENG


Contact: Georg Hein, Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin, Germany (

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