33 citations · 315 across the 87 of their papers we have counts for
4 papers · 1 filter
Characteristic foliation on the discriminantal hypersurface of a holomorphic Lagrangian fibration
Jun-Muk Hwang, Keiji Oguiso
We give a Kodaira-type classification of general singular fibers of a holomorphic Lagrangian fibration in Fujiki's class . Our approach is based on the study of the cha…
Connecting certain rigid birational non-homeomorphic Calabi--Yau threefolds via Hilbert scheme
Nam-Hoon Lee, Keiji Oguiso
We shall give an explicit pair of birational projective Calabi--Yau threefolds which are rigid, non-homeomorphic, but are connected by projective flat deformation over some connect…
Shioda-Tate formula for an abelian fibered variety and applications
Keiji Oguiso
We give an explicit formula for the Mordell-Weil rank of an abelian fibered variety and some of its applications for an abelian fibered hyperkähler manifold. As a byproduct, we als…
Conjecture of Tits type for complex varieties and Theorem of Lie-Kolchin type for a cone
JongHae Keum, Keiji Oguiso, De-Qi Zhang
First, we shall formulate and prove Theorem of Lie-Kolchin type for a cone and derive some algebro-geometric consequences. Next, inspired by a recent result of Dinh and Sibony we p…