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Holomprhic vector bundles on C2∖{0}

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Abstract

Here we show the existence of a rank 2 holomorphic vector bundleE on C2∖{0} without any holomorphic rank 1 subsheaf. Hence, contrary to the algebraic case, there are open subsets of dimension 2 Stein manifolds with holomorphic vector bundles which are not filtrable in any weak sense.

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Authors and Affiliations

  1. Department of Mathematics, University of Trento, 38050, Povo (TN), Italy

    E. Ballico

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  1. E. Ballico
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Ballico, E. Holomprhic vector bundles on C2∖{0}. Isr. J. Math. 128, 197–204 (2002). https://doi.org/10.1007/BF02785424

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