Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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LIMITS OF TRIVIAL BUNDLES ON CURVES

  • Received : 2018.12.10
  • Accepted : 2019.08.22
  • Published : 2020.01.31
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Abstract

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.

Keywords

Acknowledgement

Supported by : MIUR, GNSAGA

This work was partially supported by MIUR and GNSAGA of INdAM (Italy).

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