Kählerness of moduli spaces of stable sheaves over non-projective K3 surfaces

2017/03/06 by Perego, Arvid
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1703.02001

Abstract

We show that a moduli space of slope-stable sheaves over a K3 surface is an irreducible hyperkähler 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.

Related

• Irreducibility of moduli spaces of vector bundles on K3 surfaces
• Stable Sheaves on K3 Surfaces via Wall-Crossing
• Moduli of sheaves on K3's and higher dimensional HK varieties
• Invariants of moduli spaces of stable sheaves on ruled surfaces
• On Hyperkähler manifolds of K3^[n]-type with large Picard number