33 citations · 315 across the 87 of their papers we have counts for
6 papers · 2 filters
Families of hyperkähler manifolds
K. Oguiso
We show the density of the jumping loci of the Picard number of a hyperkähler manifold under small deformation and provide several applications. In particular, we apply this to rev…
Calabi-Yau threefolds of quotient type
K. Oguiso, J. Sakurai
First, we classify Calabi-Yau threefolds with infinite fundamental group by means of their minimal splitting coverings introduced by Beauville, and deduce that the nef cone is a ra…
Projectivity via the dual Kähler cone - Huybrechts' criterion
Keiji Oguiso, Thomas Peternell
We give an elementary proof of the following projectivity criterion of Huybrechts: a compact Kähler surface is projective if and only if the dual Kähler cone contains an inner inte…
K3 surfaces with order 11 automorphisms
Keiji Oguiso, De-Qi Zhang
In the present paper we describe the K3 surfaces admitting order 11 automorphisms and apply this to classify log Enriques surfaces of global index 11.
On Vorontsov's theorem on K3 surfaces
K. Oguiso, D. -Q. Zhang
Let X be a K3 surface with the Neron-Severi lattice S_X and transcendental lattice T_X. Nukulin considered the kernel H_X of the natural representation Aut(X) ---> O(S_X) and prove…
On the complete classification of extremal log Enriques surfaces
K. Oguiso, D. -Q. Zhang
We show that there are exactly, up to isomorphisms, seven extremal log Enriques surfaces Z and construct all of them; among them types D_{19} and A_{19} have been shown of certain…