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arXiv · 1712.07597

Limits of the trivial bundle on a curve

Arnaud Beauville
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Abstract

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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Arnaud Beauville. 2017-12-20. Limits of the trivial bundle on a curve. https://doi.org/10.46298/epiga.2018.volume2.4454

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