• 제목/요약/키워드: limits of trivial bundles

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LIMITS OF TRIVIAL BUNDLES ON CURVES

  • Ballico, Edoardo
    • 대한수학회논문집
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    • 제35권1호
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    • pp.43-61
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    • 2020
  • We extend the work of A. Beauville on rank 2 vector bundles on a smooth curve in several directions. We give families of examples with large dimension, add new existence and non-existence results and prove the existence of indecomposable limits with arbitrary rank. To construct the large dimensional families we use the examples of limits of rank 2 trivial bundles on ℙ2 and ℙ3 due to C. Banica. We also consider a more flexible notion: limits of trivial bundles on nearby curves.