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Stability of Vector Bundles on Curves and Degenerations

Published online by Cambridge University Press:  20 November 2018

Brian Osserman
Brian Osserman*
Affiliation:
Department of Mathematics, University of California, Davis, Davis, California, USA e-mail: [email protected]
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Abstract

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We introduce a weaker notion of (semi)stability for vector bundles on reducible curves that does not depend on a choice of polarization and 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

14D0614H60vector bundlestabilitydegeneration
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 59 , Issue 4 , 01 December 2016 , pp. 858 - 864
Copyright
Copyright © Canadian Mathematical Society 2016

References

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