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1. CMB 2016 (vol 59 pp. 858)

Osserman, Brian
Stability of Vector Bundles on Curves and Degenerations
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
Categories:14D06, 14H60

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