We show that the moduli space of 5 ordered points on ℙ1 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 [S], Terada [Te], Deligne-Mostow [DM].
CITATION STYLE
Kondō, S. (2007). The moduli space of 5 points on ℙ1 and K3 surfaces. In Progress in Mathematics (Vol. 260, pp. 189–206). Springer Basel. https://doi.org/10.1007/978-3-7643-8284-1_7
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