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arXiv · 2201.02329

Asymptotic slopes and strong semistability on surfaces

Mitra Koley·A. J. Parameswaran
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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.

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Mitra Koley, A. J. Parameswaran. 2022-01-07. Asymptotic slopes and strong semistability on surfaces. https://arxiv.org/abs/2201.02329

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