3 citations · 4 across the 6 of their papers we have counts for
7 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 cohomology of general tensor products of vector bundles on the projective plane
Izzet Coskun, Jack Huizenga, John Kopper
Computing the cohomology of the tensor product of two vector bundles is central in the study of their moduli spaces and in applications to representation theory, combinatorics and…
Non-globally generated bundles on curves
John Kopper, Sayanta Mandal
We describe the locus of stable bundles on a smooth genus curve that fail to be globally generated. For each rank and degree with , we exhibit a component…
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…
Effective cycles on blow-ups of Grassmannians
John Kopper
In this paper we study the pseudoeffective cones of blow-ups of Grassmannians at sets of points. For small numbers of points, the cones are often spanned by proper transforms of Sc…