33 citations · 315 across the 87 of their papers we have counts for
6 papers · 1 filter
Primitive automorphisms of a simple abelian variety
Keiji Oguiso
We shall prove that an automorphism of a simple abelian variety is primitive if and only if it is of infinite order.
A criterion for the primitivity of a birational automorphism of a Calabi-Yau manifold and an application
Keiji Oguiso
We shall give a sufficient condition on the primitivity of a birational automrphism of a Calabi-Yau manifold in purely algebro geometric terms. As an application, we shall give an…
The Morrison-Kawamata Cone Conjecture and Abundance on Ricci flat manifolds
Vladimir Lazić, Keiji Oguiso, Thomas Peternell
The aim of this survey paper is threefold: (a) to discuss the status of the Morrison-Kawamata cone conjecture, (b) to report on recent developments towards the Abundance Conjecture…
Pisot units, Salem numbers and higher dimensional projective manifolds with primitive automorphisms of positive entropy
Keiji Oguiso
We show that, in any dimension greater than one, there are an abelian variety, a smooth rational variety and a Calabi-Yau manifold, with primitive birational automorphisms of first…
Isomorphic quartic K3 surfaces in the view of Cremona and projective transformations
Keiji Oguiso
We show that there is a pair of smooth complex quartic K3 surfaces and in such that and are isomorphic as abstract varieties but not Cremona…
Nef line bundles on Calabi-Yau threefolds, I
Vladimir Lazić, Keiji Oguiso, Thomas Peternell
We prove that a nef line bundle with on a Calabi-Yau threefold with Picard number and with is semiample, that is, some…