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Globally generated vector bundles on a smooth quadric surface

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Abstract

We give the classification of globally generated vector bundles of rank 2 on a smooth quadric surface with c 1 ⩻ (2, 2) in terms of the indices of the bundles, and extend the result to arbitrary higher rank case. We also investigate their indecomposability and give the sufficient and necessary condition on numeric data of vector bundles for indecomposability.

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Authors and Affiliations

  1. Department of Mathematics, Università di Trento, Povo, TN, 38123, Italy

    Edoardo Ballico

  2. Department of Mathematics, Sungkyunkwan University, Suwon, 440-746, Korea

    Sukmoon Huh

  3. Department of Mathematical Science, Politecnico di Torino, Torino, 10129, Italy

    Francesco Malaspina

Authors
  1. Edoardo Ballico
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  2. Sukmoon Huh
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  3. Francesco Malaspina
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Correspondence to Sukmoon Huh.

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Ballico, E., Huh, S. & Malaspina, F. Globally generated vector bundles on a smooth quadric surface. Sci. China Math. 58, 633–652 (2015). https://doi.org/10.1007/s11425-014-4963-3

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  • DOI: https://doi.org/10.1007/s11425-014-4963-3

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