Limits of the trivial bundle on a curve
We attempt to describe the rank 2 vector bundles on a curve C which are specializations of the trivial bundle. We get a complete classifications when C is Brill-Noether generic, or when it is hyperelliptic; in both cases all limit vector bundles are decomposable. We give examples of indecomposable l...
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| Format: | Article |
| Language: | English |
| Published: |
Association Epiga
2018-11-01
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| Series: | Épijournal de Géométrie Algébrique |
| Subjects: | |
| Online Access: | https://epiga.episciences.org/4454/pdf |
| Summary: | We attempt to describe the rank 2 vector bundles on a curve C which are
specializations of the trivial bundle. We get a complete classifications when C
is Brill-Noether generic, or when it is hyperelliptic; in both cases all limit
vector bundles are decomposable. We give examples of indecomposable limit
bundles for some special curves. |
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| ISSN: | 2491-6765 |