Stability of vector bundles on curves and degenerations
Algebraic Geometry
2019-08-15 v1
Abstract
We observe that if we are interested primarily in degeneration arguments, there is a weaker notion of (semi)stability for vector bundles on reducible curves, which is sufficient for many applications, and does not depend on a choice of polarization. We introduce and 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.
Cite
@article{arxiv.1401.0556,
title = {Stability of vector bundles on curves and degenerations},
author = {Brian Osserman},
journal= {arXiv preprint arXiv:1401.0556},
year = {2019}
}
Comments
6 pages