Remarks on connected components of moduli of real polarized K3 surfaces

TL;DR

This paper finalizes the enumeration of connected components of moduli spaces of real polarized K3 surfaces and classifies those deformable from real hyper-elliptically polarized K3 surfaces, aiding explicit constructions.

Contribution

It completes the enumeration of moduli components and classifies real polarized K3 surfaces deformable from hyper-elliptically polarized ones.

Findings

Enumeration of connected components finalized

Complete classification of certain real polarized K3 surfaces obtained

Explicit construction possibilities highlighted

Abstract

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.