4 papers
Disconnected moduli spaces of stable bundles on surfaces
Izzet Coskun, Jack Huizenga, John Kopper
We use hypersurfaces containing unexpected linear spaces to construct interesting vector bundles on complete intersection surfaces in projective space. We discover examples of modu…
Ample stable vector bundles on rational surfaces
Jack Huizenga, John Kopper
We study ample stable vector bundles on minimal rational surfaces. We give a complete classification of those moduli spaces for which the general stable bundle is both ample and gl…
The nef cone of the Hilbert scheme of points on rational elliptic surfaces and the cone conjecture
John Kopper
We compute the nef cone of the Hilbert scheme of points on a general rational elliptic surface. As a consequence of our computation, we show that the Morrison-Kawamata cone conject…
Stability conditions for restrictions of vector bundles on projective surfaces
John Kopper
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…