Search: MSC category 14D06
( Fibrations, degenerations )
1. CMB Online first
||Stability of vector bundles on curves and degenerations|
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.
Keywords:vector bundle, stability, degeneration