11 citations · 18 across the 6 of their papers we have counts for
20 papers · 1 filter
Tits alternative in hypekähler manifolds
Keiji Oguiso
We show an analogous result of the famous Tits alternative for a group G of birational automorphisms of a projective hyperkäher manifold: Either G contains a non-commutative free g…
Automorphisms of hyperkähler manifolds in the view of topological entropy
Keiji Oguiso
First we show that any group of automorphisms of null-entropy of a projective hyperkähler manifold is almost abelian of rank at most . We then characterize automorphi…
Bimeromorphic automorphism groups of non-projective hyperkähler manifolds - a note inspired by C. T. McMullen
Keiji Oguiso
Being inspired by a work of Curtis T. McMullen about a very impressive automorphism of a K3 surface of Picard number zero, we shall clarify the structure of the bimeromorphic autom…
A characterization of the Fermat quartic K3 surface by means of finite symmetries
Keiji Oguiso
We shall characterize the Fermat K3 surface, among all complex K3 surfaces, by means of its finite group symmetries.
Fourier-Mukai partners of a K3 surface of Picard number one
Shinobu Hosono, Bong H. Lian, Keiji Oguiso +1
We shall give a complete geometrical description of the FM partners of a K3 surface of Picard number 1 and its applications.
Autoequivalences of Derived Category of A K3 Surface and Monodromy Transformations
Shinobu Hosono, Bong H. Lian, Keiji Oguiso +1
We consider autoequivalences of the bounded derived category of coherent sheaves on a K3 surface. We prove that the image of the autoequivalences has index at most two in the group…