The Moduli Space of 8 Points on P and Automorphic Forms

نویسنده

  • SHIGEYUKI KONDŌ
چکیده

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. Dedicated to Igor Dolgachev on his 60th birthday

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تاریخ انتشار 2005