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.
Description
The Kodaira dimension of the moduli of K3 surfaces
%0 Generic
%1 gritsenko2006kodaira
%A Gritsenko, V.
%A Hulek, K.
%A Sankaran, G. K.
%D 2006
%K dimension k3 kodaira moduli surfaces
%R 10.1007/s00222-007-0054-1
%T The Kodaira dimension of the moduli of K3 surfaces
%U http://arxiv.org/abs/math/0607339
%X 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.
@misc{gritsenko2006kodaira,
abstract = {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.},
added-at = {2013-12-23T06:40:23.000+0100},
author = {Gritsenko, V. and Hulek, K. and Sankaran, G. K.},
biburl = {https://www.bibsonomy.org/bibtex/2c4b238aee3fe25204fc22884a46e0805/aeu_research},
description = {The Kodaira dimension of the moduli of K3 surfaces},
doi = {10.1007/s00222-007-0054-1},
interhash = {cd189d3f54e289a0fbc03d8ac3a0b23c},
intrahash = {c4b238aee3fe25204fc22884a46e0805},
keywords = {dimension k3 kodaira moduli surfaces},
note = {cite arxiv:math/0607339Comment: 47 pages},
timestamp = {2013-12-23T06:40:23.000+0100},
title = {The Kodaira dimension of the moduli of K3 surfaces},
url = {http://arxiv.org/abs/math/0607339},
year = 2006
}