The subbundles of decomposable vector bundles over an elliptic curve

• Autores: Edoardo Ballico
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 49, Fasc. 2-3, 1998, págs. 185-190
• Idioma: inglés
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• Resumen

  • Let $C$ be an elliptic curve and $E, F$ polystable vector bundles on $C$ such that no two among the indecomposable factors of $E\oplus F$ are isomorphic. Here we give a complete classification of such pairs $(E,F)$ such that $E$ is a subbundle of $F$.

• Referencias bibliográficas
  • M.F. Atiyah, Vector bundles over an elliptic curve, Proc. London Math. Soc. 7(3) (1957), 414–452; reprinted in: Michael Atiyah Collected Works,...
  • E. Ballico and B. Russo, Exact sequences of semi-stable vector bundles on algebraic curves, preprint.