Remarks on connected components of moduli of real polarized K3 surfaces
  I have finalized my old (1979) results about enumeration of connected components of moduli of real polarized K3 surfaces.   As an application, using recent results of math.AG/0312396, the complete classification of real polarized K3 surfaces which are deformations of real hyper-elliptically polarized K3 surfaces is obtained. This could be important in some questions, because real hyper-elliptically polarized K3 surfaces can be constructed explicitly. 
Viacheslav V. Nikulin