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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