The moduli space of 8 points on ${\bf P}^1$ and automorphic forms
Algebraic Geometry
2007-05-23 v1
Abstract
First we give a complex ball uniformization of the moduli space of 8 ordered points on the projective line by using the theory of periods of K3 surfaces. Next we give a projective model of this moduli space by using automorphic forms on a bounded symmetric domain of type IV which coincides with the one given by cross ratios of 8 ordered points of the projective line.
Cite
@article{arxiv.math/0504233,
title = {The moduli space of 8 points on ${\bf P}^1$ and automorphic forms},
author = {Shigeyuki Kondo},
journal= {arXiv preprint arXiv:math/0504233},
year = {2007}
}
Comments
17 pages