Remarks on connected components of moduli of real polarized K3 surfaces

Details Remarks on connected components of moduli of real polarized K3 surfaces Remarks on connected components of moduli of real polarized K3 surfaces

2005-07-10

arxiv.org/abs/math/0507197v1

On connected components of moduli of real polarized K3-surfaces, Izv. Ross. Akad. Nauk Ser. Mat. 72 (2008), no. 1, 99-122 (Rus

Mathematics

Algebraic Geometry

22 pages

Scientific paper

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.

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