Asymptotic slopes and strong semistability on surfaces
Algebraic Geometry
2022-01-10 v1
Abstract
In this article we study asymptotic slopes of strongly semistable vector bundles on a smooth projective surface. A connection between asymptotic slopes and strong restriction theorem of a strongly semistable vector bundle is shown. We also give an equivalent criterion of strong semistability of a vector bundle in terms of its asymptotic slopes under some assumptions on the surface and on the bundle.
Cite
@article{arxiv.2201.02329,
title = {Asymptotic slopes and strong semistability on surfaces},
author = {Mitra Koley and A. J. Parameswaran},
journal= {arXiv preprint arXiv:2201.02329},
year = {2022}
}
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