Limits of the trivial bundle on a curve

Arnaud Beauville (1)

1 LJAD - Laboratoire Jean Alexandre Dieudonné

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.

Domaines: Géométrie algébrique [math.AG]

Arnaud Beauville. Limits of the trivial bundle on a curve. Épijournal de Géométrie Algébrique, 2018, 2 (9). ⟨hal-02509860⟩