Asymptotic slopes and strong semistability on surfaces

Authors

Mitra Koley, Indian Statistical Institute, Kolkata
A. J. Parameswaran, Tata Institute of Fundamental Research, Mumbai

Article Type

Research Article

Publication Title

Journal of Algebra

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.

First Page

310

Last Page

330

DOI

https://10.1016/j.jalgebra.2023.05.038

Publication Date

10-15-2023

Comments

Open Access, Green

Recommended Citation

Koley, Mitra and Parameswaran, A. J., "Asymptotic slopes and strong semistability on surfaces" (2023). Journal Articles. 3534.
https://digitalcommons.isical.ac.in/journal-articles/3534