We show that a moduli space of slope-stable coherent sheaves over a K3 surface is a compact hyperkahler manifold if and only if its second Betti number is the sum of its Hodge numbers h^{2,0}, h^{1,1} and h^{0,2}.
We prove that any hyper-K\"{a}hler sixfold $K$ of generalized Kummer type has a naturally associated...
AbstractWe prove that the moduli space of stable sheaves of rank 2 with the Chern classes c1=OQ(1,1)...
For the irreducible holomorphic symplectic eightfold Z associated to a cubic fourfold Y not containi...
We study moduli spaces of sheaves over nonprojective K3 surfaces. More precisely, let omega be a Kah...
In this survey article we describe moduli spaces of simple, stable, and semistable sheaves on K3 sur...
We introduce the notion of a Hyper-K\"{a}hler manifold $X$ induced by a Hodge structure of K3-type. ...
Moduli spaces of stably irreducible sheaves on Kodaira surfaces belong to the short list of examples...
We show that the moduli spaces of sheaves on a projective K3 surface are irreducible symplectic vari...
We show that the moduli spaces of sheaves on a projective K3 surface are irreducible symplectic vari...
We consider two K3 surfaces defined over an arbitrary field, together with a smooth proper moduli sp...
We prove that projective hyperk\"{a}hler manifolds of K3$^{[n]}$-type admitting a non-trivial symple...
Let X be a projective complex K3 surface. Beauville and Voisin singled out a 0-cycle c(X) on X of de...
We show that for many moduli spaces M of torsion sheaves on K3 surfaces S, the functor Db (S) → Db...
For a moduli space $M$ of stable sheaves over a $K3$ surface $X$, we propose a series of conjectural...
Let X be an irreducible 2n-dimensional holomorphic symplectic manifold. A reflexive sheaf F is modul...
We prove that any hyper-K\"{a}hler sixfold $K$ of generalized Kummer type has a naturally associated...
AbstractWe prove that the moduli space of stable sheaves of rank 2 with the Chern classes c1=OQ(1,1)...
For the irreducible holomorphic symplectic eightfold Z associated to a cubic fourfold Y not containi...
We study moduli spaces of sheaves over nonprojective K3 surfaces. More precisely, let omega be a Kah...
In this survey article we describe moduli spaces of simple, stable, and semistable sheaves on K3 sur...
We introduce the notion of a Hyper-K\"{a}hler manifold $X$ induced by a Hodge structure of K3-type. ...
Moduli spaces of stably irreducible sheaves on Kodaira surfaces belong to the short list of examples...
We show that the moduli spaces of sheaves on a projective K3 surface are irreducible symplectic vari...
We show that the moduli spaces of sheaves on a projective K3 surface are irreducible symplectic vari...
We consider two K3 surfaces defined over an arbitrary field, together with a smooth proper moduli sp...
We prove that projective hyperk\"{a}hler manifolds of K3$^{[n]}$-type admitting a non-trivial symple...
Let X be a projective complex K3 surface. Beauville and Voisin singled out a 0-cycle c(X) on X of de...
We show that for many moduli spaces M of torsion sheaves on K3 surfaces S, the functor Db (S) → Db...
For a moduli space $M$ of stable sheaves over a $K3$ surface $X$, we propose a series of conjectural...
Let X be an irreducible 2n-dimensional holomorphic symplectic manifold. A reflexive sheaf F is modul...
We prove that any hyper-K\"{a}hler sixfold $K$ of generalized Kummer type has a naturally associated...
AbstractWe prove that the moduli space of stable sheaves of rank 2 with the Chern classes c1=OQ(1,1)...
For the irreducible holomorphic symplectic eightfold Z associated to a cubic fourfold Y not containi...
DOI
Add to ORKG