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October 2020 Stability Conditions for Restrictions of Vector Bundles on Projective Surfaces
John Kopper
Michigan Math. J. 69(4): 711-732 (October 2020). DOI: 10.1307/mmj/1592359275

Abstract

Using Bridgeland stability conditions, we give sufficient criteria for a stable vector bundle on a smooth complex projective 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.

Citation

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John Kopper. "Stability Conditions for Restrictions of Vector Bundles on Projective Surfaces." Michigan Math. J. 69 (4) 711 - 732, October 2020. https://doi.org/10.1307/mmj/1592359275

Information

Received: 26 June 2018; Revised: 6 April 2020; Published: October 2020
First available in Project Euclid: 17 June 2020

MathSciNet: MR4168782
Digital Object Identifier: 10.1307/mmj/1592359275

Subjects:
Primary: 14H60, 14J60
Secondary: 14D20, 14H50

Rights: Copyright © 2020 The University of Michigan

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Vol.69 • No. 4 • October 2020
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