Moduli spaces of sheaves on K3 surfaces
arXiv:1603.00785 · doi:10.1016/j.geomphys.2016.02.017
Abstract
In this survey article we describe moduli spaces of simple, stable, and semistable sheaves on K3 surfaces, following the work of Mukai, O'Grady, Huybrechts, Yoshioka, and others. We also describe some recent developments, including applications to the study of Chow rings of K3 surfaces, determination of the ample and nef cones of irreducible holomorphic symplectic manifolds, and moduli spaces of Bridgeland stable complexes of sheaves.
24 pages, to appear in the Journal of Geometry and Physics special issue: proceedings of the "Workshop on Instanton Counting: Moduli Spaces, Representation Theory and Integrable Systems" (Leiden, 16-20 June 2014)