Stability of Vector Bundles on Curves and Degenerations
Printed: Dec 2016
We introduce a weaker notion of (semi)stability for vector bundles
reducible curves which does not depend on a choice of polarization,
which suffices for many applications of degeneration techniques.
We explore the basic
properties of this alternate notion of (semi)stability. In a
direction, we record a proof of the existence of semistable extensions
of vector bundles in suitable degenerations.
vector bundle, stability, degeneration
14D06 - Fibrations, degenerations
14H60 - Vector bundles on curves and their moduli [See also 14D20, 14F05]