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arxiv: math/0507006 · v1 · submitted 2005-07-01 · 🧮 math.AG

The moduli space of 5 points on P¹ and K3 surfaces

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keywords modulipointsspacesurfacesarithmeticballcomplexdeligne-mostow
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We show that the moduli space of ordered 5 points on the projective line is isomorphic to an arithmetic quotient of a complex ball by using the theory of periods of K3 surfaces. We also discuss a relation between our uniformization and the one given by Shimura, Terada and Deligne-Mostow.

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