Proceedings of the London Mathematical Society · 1957 · 942 citations · 2 references
Natural SciencesPhysicsElectromagnetismArithmetic GeometryElliptic CurvesFiber BundlesGauge TheoryAssociated BundlesComplex Vector BundlesHolomorphic Vector BundlesTensor Product BundlesToric Vector Bundles
THE primary purpose of this paper is the study of algebraic vector bundles over an elliptic curve (defined over an algebraically closed field k). The interest of the elliptic curve lies in the fact that it provides the first non-trivial case, Grothendieck (6) having shown that for a rational curve every
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