6 citations · 12 across the 12 of their papers we have counts for
12 papers
Cubic fourfolds with symplectic automorphisms
Kenji Koike
We determine projective equations of smooth complex cubic fourfolds with symplectic automorphisms by classifying 6-dimensional projective representations of Laza and Zheng's 34 gro…
On cubic fourfolds with an inductive structure
Kenji Koike
We study the number of planes for four dimensional projective hypersurfaces which has so-called inductive structure. We also determine transcendental lattices for cubic fourfolds o…
Picard-Vessiot groups of Lauricella's hypergeometric systems and Calabi-Yau varieties arising integral representations
Yoshiaki Goto, Kenji Koike
We study the Zariski closure of the monodromy group of Lauricella's hypergeometric function . If the identity component acts irreducibly, then…
The Fermat septic and the Klein quartic as moduli spaces of hypergeometric Jacobians
Kenji Koike
We give uniformizations of the Klein quartic curve and the Fermat septic curve as Shimura curves parametrizing Abelian -folds with endomorphisms $\ZZ[\z_7]$.
A Picard modular fourfold and the Weyl group W(E_6)
Bert van Geemen, Kenji Koike
We study the geometry of a Picard modular fourfold which parametrizes abelian fourfolds of Weil type for the field of cube roots of unity. We find a projective model of this fourfo…
On Jaconian Kummer surfaces
Kenji Koike
We give explicit equations of smooth Jacobian Kummer surfaces of degree 8 by theta functions. As byproducts, we can write down Rosenhain's 80 hyperpanes and 32 lines on these Kumme…