Arnaud Beauville - 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: Arnaud Beauville

    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.

    Volume: Volume 2
    Published on: November 1, 2018
    Accepted on: October 4, 2018
    Submitted on: April 24, 2018
    Keywords: Mathematics - Algebraic Geometry

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    Source : ScholeXplorer IsRelatedTo DOI 10.1007/978-3-540-69392-5
    • 10.1007/978-3-540-69392-5
    Volume II with a contribution by Joseph Daniel Harris

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