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arXiv · 1802.07403

Stability conditions for restrictions of vector bundles on projective surfaces

John Kopper
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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.

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John Kopper. 2018-02-21. Stability conditions for restrictions of vector bundles on projective surfaces. https://arxiv.org/abs/1802.07403

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