The Kodaira dimension of the moduli of K3 surfaces

Details The Kodaira dimension of the moduli of K3 surfaces The Kodaira dimension of the moduli of K3 surfaces

2006-07-14

arxiv.org/abs/math/0607339v1

Mathematics

Algebraic Geometry

47 pages

Scientific paper

10.1007/s00222-007-0054-1

The moduli space of polarised K3 surfaces of degree 2d is a quasi-projective
variety of dimension 19. For general d very little has been known about the
Kodaira dimension of these varieties. In this paper we present an almost
complete solution to this problem. Our main result says that this moduli space
is of general type for d>61 and for d=46,50,54,58,60.

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