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Stability of Vector Bundles on Curves and Degenerations

  Published:2016-02-11
 Printed: Dec 2016
  • Brian Osserman,
    Department of Mathematics, University of California, Davis, Davis, California, USA
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Abstract

We introduce a weaker notion of (semi)stability for vector bundles on reducible curves which does not depend on a choice of polarization, and which suffices for many applications of degeneration techniques. We explore the basic properties of this alternate notion of (semi)stability. In a complementary direction, we record a proof of the existence of semistable extensions of vector bundles in suitable degenerations.
Keywords: vector bundle, stability, degeneration vector bundle, stability, degeneration
MSC Classifications: 14D06, 14H60 show english descriptions Fibrations, degenerations
Vector bundles on curves and their moduli [See also 14D20, 14F05]
14D06 - Fibrations, degenerations
14H60 - Vector bundles on curves and their moduli [See also 14D20, 14F05]
 

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