14 citations · 37 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
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…