Singularities and Kodaira dimension of moduli scheme of stable sheaves   on Enriques surfaces
  Let M be a moduli scheme of stable sheaves with fixed Chern classes on an Enriques surface or a hyper-elliptic surface. If its expected dimension is 7 or more, then M admits only canonical singularities. Moreover, if M is compact, then its Kodaira dimension is zero. 
Kimiko Yamada
math.AG