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.
Limits of trivial bundles on curves / Ballico, Edoardo. - In: DAEHAN SUHAGHOE NONMUNJIB. - ISSN 1225-1763. - STAMPA. - 2020, 35:1(2020), pp. 43-61. [10.4134/CKMS.c180515]
Limits of trivial bundles on curves
Ballico, Edoardo
2020-01-01
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.| File | Dimensione | Formato | |
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