The Moduli Space of 5 Points on ℙ1 and K3 Surfaces

Part of the Progress in Mathematics book series (PM, volume 260)


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].


Moduli K3 surfaces quartic del Pezzo surfaces complex ball uniformization 


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© Birkhäuser Verlag Basel/Switzerland 2007

Authors and Affiliations

  1. 1.Graduate School of MathematicsNagoya UniversityNagoyaJapan

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