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math.AG2022
Effective cycles on universal hypersurfaces
Geoffrey Smith
We study the effective cones of cycles on universal hypersurfaces on a projective variety , particularly focusing on the case of universal hypersurfaces in . We de…
math.AG2022
Stability and cohomology of kernel bundles on projective space
Izzet Coskun, Jack Huizenga, Geoffrey Smith
In this paper, we study the cohomology of vector bundles on projective space defined as kernels or cokernels of general maps , where the are direct sums of line…