11 citations · 20 across the 3 of their papers we have counts for
4 papers · 1 filter
The moduli space of 5 points on P^1 and K3 surfaces
Shigeyuki Kondo
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…
The moduli space of 8 points on and automorphic forms
Shigeyuki Kondo
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…
A Complex Ball Uniformization of the Moduli Space of Cubic Surfaces Via Periods of K3 Surfaces
I. Dolgachev, B. van Geemen, S. Kondo
In this paper we show that the moduli space of nodal cubic surfaces is isomorphic to a quotient of a 4-dimensional complex ball by an arithmetic subgroup of the unitary group. This…
A supersingular K3 surface in characteristic 2 and the Leech lattice
I. Dolgachev, S. Kondo
We construct a K3 surface over an algebraically closed field of characteristic 2 which contains two sets of 21 disjoint smooth rational curves such that each curve from one set int…