8 papers
Sixteen generators of the automorphism group of the Fermat quartic surface
JongHae Keum, Keiji Oguiso, Xun Yu
It has been a long standing open problem to find generators of the automorphism group of the complex Fermat quartic K3 surface; in fact, even an explicit number of generators has n…
Obstructions for codimension one multiple fibers of Lagrangian and Calabi--Yau fibrations
Yoon-Joo Kim, Keiji Oguiso, Evgeny Shinder
We prove that compact hyper-Kähler manifolds with a Lagrangian fibration over a projective space have no multiple fibers in codimension one. This has several consequences for the s…
On K3 surfaces with hyperbolic automorphism groups
Koji Fujiwara, Keiji Oguiso, Xun Yu
We show the finiteness of the Néron-Severi lattices of complex projective K3 surfaces whose automorphism groups are non-elementary hyperbolic with explicit descriptions, under the…
Essential dimensions of polarized endomorphisms of abelian varieties
Yujie Luo, Keiji Oguiso, De-Qi Zhang
Let be a polarized endomorphism of an abelian variety . Kollár and Zhuang asked whether the essential dimension equals . We provide counte…
Polynomial log-volume growth in slow dynamics and the GK-dimensions of twisted homogeneous coordinate rings
Hsueh-Yung Lin, Keiji Oguiso, De-Qi Zhang
Let f be a zero entropy automorphism of a compact Kähler manifold X. We study the polynomial log-volume growth Plov(f) of f in light of the dynamical filtrations introduced in our…
On the virtual invariants of zero entropy groups of compact Kähler manifolds
Tien-Cuong Dinh, Hsueh-Yung Lin, Keiji Oguiso +1
Let be a compact Kähler manifold. We study subgroups of biholomorphic automorphisms of zero entropy when is compact (e.g. when $\ma…