The moduli space of 8 points on ${\bf P}^1$ and automorphic forms

Details The moduli space of 8 points on ${\bf P}^1$ and automorphic forms The moduli space of 8 points on ${\bf P}^1$ and automorphic forms

2005-04-12

arxiv.org/abs/math/0504233v1

Mathematics

Algebraic Geometry

17 pages

Scientific paper

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.

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