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math.AG2023
Supporting rank and the intersection of all Hassett Divisors
Elad Gal, Howard Nuer
We prove that the dimension of the intersection of all Hassett divisors of special cubic fourfolds is sixteen. We do this by studying which subsets of the natural numb…
math.AG2023
The Bogomolov-Gieseker-Koseki inequality on surfaces with canonical singularities in arbitrary characteristic
Howard Nuer, Alan Sorani
This note generalizes the celebrated Bogomolov-Gieseker inequality for smooth projective surfaces over an algebraically closed field of characteristic zero to projective surfaces i…
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…