Beauville, Arnaud - Limits of the trivial bundle on a curve

epiga:4454 - Épijournal de Géométrie Algébrique, November 1, 2018, Volume 2
Limits of the trivial bundle on a curve

Authors: Beauville, Arnaud

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.


Source : oai:arXiv.org:1712.07597
Volume: Volume 2
Published on: November 1, 2018
Submitted on: April 24, 2018
Keywords: Mathematics - Algebraic Geometry


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