Stability conditions for restrictions of vector bundles on projective surfaces
Algebraic Geometry
2020-06-16 v3
Abstract
Using Bridgeland stability conditions we give sufficient criteria for a stable vector bundle on a surface to remain stable when restricted to a curve. We give a stronger criterion when the vector bundle is a general vector bundle on the plane. As an application, we compute the cohomology of such bundles for curves that lie in the plane or on Hirzebruch surfaces.
Keywords
Cite
@article{arxiv.1802.07403,
title = {Stability conditions for restrictions of vector bundles on projective surfaces},
author = {John Kopper},
journal= {arXiv preprint arXiv:1802.07403},
year = {2020}
}
Comments
14 pages. Replaced with version to appear in Mich. Math. J