50 citations · 129 across the 18 of their papers we have counts for
19 papers
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…
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…
Stable sheaves on bielliptic surfaces: from the classical to the modern
Howard Nuer
Bielliptic surfaces are the last family of Kodaira dimension zero algebraic surfaces without a classification result for the Chern characters of stable sheaves. We rectify this and…
The cohomology of the general stable sheaf on a K3 surface
Izzet Coskun, Howard Nuer, Kōta Yoshioka
Let be a K3 surface with Picard group such that . Let be the moduli space of Gieseker semistable sheaves on w…
A Refined Derived Torelli Theorem for Enriques surfaces, II: the non-generic case
Chunyi Li, Paolo Stellari, Xiaolei Zhao
We prove that two Enriques surfaces defined over an algebraically closed field of characteristic different from are isomorphic if their Kuznetsov components are equivalent. Thi…
A refined Derived Torelli Theorem for Enriques surfaces
Chunyi Li, Howard Nuer, Paolo Stellari +1
We prove that two general Enriques surfaces defined over an algebraically closed field of characteristic different from are isomorphic if their Kuznetsov components are equival…
Stability conditions in families
Arend Bayer, Martí Lahoz, Emanuele Macrì +3
We develop a theory of Bridgeland stability conditions and moduli spaces of semistable objects for a family of varieties. Our approach is based on and generalizes previous work by…
MMP Via Wall-crossing for Moduli Spaces of Stable Sheaves on an Enriques surface
Howard Nuer, Kōta Yoshioka
We use wall-crossing in the Bridgeland stability manifold to systematically study the birational geometry of the moduli space of -semistable objects of class $…
Ulrich Bundles on Enriques Surfaces
Lev Borisov, Howard Nuer
We study Ulrich bundles and their moduli on unnodal Enriques surfaces. In particular, we prove that unnodal Enriques surfaces are of wild representation type by constructing moduli…
Unirationality of moduli spaces of special cubic fourfolds and K3 surfaces
Howard Nuer
We provide explicit descriptions of the generic members of Hassett's divisors for relevant and for . In doing so, we prove that $\mathcal C_d…
Projectivity and Birational Geometry of Bridgeland Moduli spaces on an Enriques Surface
Howard Nuer
We construct moduli spaces of semistable objects on an Enriques surface for generic Bridgeland stability condition and prove their projectivity. We further generalize classical res…
A Note on the existence of stable vector bundles on Enriques surfaces
Howard Nuer
We prove the non-emptiness of , the moduli space of Gieseker-semistable sheaves on an unnodal Enriques surface with Mukai vector of positive rank with respect t…
A Strange Family of Calabi-Yau 3-folds
Patrick Devlin, Howard J. Nuer
We study the predictions of mirror symmetry for the 1-parameter family of Calabi-Yau 3-folds with hodge numbers constructed in \cite{BN}. We calcul…
On complete intersection threefolds that contain an Enriques surface
Lev A. Borisov, Howard J. Nuer
We study nodal complete intersection threefolds of type in $\PP^5$ which contain an Enriques surface in its Fano embedding. We completely determine Calabi-Yau birational mo…