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math.AG2023
The Brill-Noether Theory of the Moduli Spaces of Sheaves on Surfaces
Izzet Coskun, Jack Huizenga, Howard Nuer
In this paper, we survey recent developments in the Brill-Noether Theory of higher rank vector bundles on complex projective surfaces. We focus on weak Brill-Noether Theorems on ra…
math.AG2023
Interpolation and moduli spaces of vector bundles on very general blowups of the projective plane
Izzet Coskun, Jack Huizenga
In this paper, we study certain moduli spaces of vector bundles on the blowup of the projective plane in at least 10 very general points. Moduli spaces of sheaves on general type s…