Geodesic
Limits of the trivial bundle on a curve
Épijournal de Géométrie Algébrique, Tome 2 (2018)

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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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     author = {Beauville, Arnaud},
     title = {Limits of the trivial bundle on a curve},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
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     volume = {2},
     year = {2018},
     doi = {10.46298/epiga.2018.volume2.4454},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2018.volume2.4454/}
}
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Beauville, Arnaud. Limits of the trivial bundle on a curve. Épijournal de Géométrie Algébrique, Tome 2 (2018). doi: 10.46298/epiga.2018.volume2.4454

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