Vector Bundles Over an Elliptic Curve

1957/01/01 by M. F. Atiyah, Michael Atiyah · 84 citations
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #advanced mathematical theories

paper · doi:10.1112/plms/s3-7.1.414

Abstract

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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