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The equations of general Hassett maximal cubic fourfolds
Elad Gal, Howard Nuer
In this note, we discuss Hassett maximal cubic fourfolds and construct an explicit irreducible component of maximal dimension sixteen of the locus of Hassett maximal…
Finite order symplectic birational self-maps on Kummer-type manifolds
Yajnaseni Dutta, Dominique Mattei, Stevell Muller +1
A projective hyperkähler manifold of Kummer-type is said to be twisted modular if it is birational to the Albanese fiber of a moduli space of twisted sheaves on an abelian surface.…
Stability conditions on some families of Calabi-Yau threefolds via orbifolding
Howard Nuer
We prove that families of Calabi-Yau threefolds (CY3's) admit Bridgeland stability conditions when they are obtained via orbifolding from a family of CY3's admitting Bridgeland sta…
Weak Brill-Noether on Abelian Surfaces
Izzet Coskun, Howard Nuer, Kota Yoshioka
We study the cohomology of a general stable sheaf on an abelian surface. We say that a moduli space satisfies weak Brill-Noether if the general sheaf has at most one non-zero cohom…
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…
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…