activity
19972026
most citedExplicit Examples of rational and Calabi-Yau threefolds with primitive automorphisms of positive entropy

33 citations · 315 across the 87 of their papers we have counts for

collaborators

96 papers

math.AG2026

Algebraic entropy of birational automorphism groups in families of hyper-Kähler manifolds

Francesco Antonio Denisi, Keiji Oguiso, Claudio Onorati +2

In this short note, we study the behavior of the algebraic entropy of birational automorphism groups in families of projective hyper-Kähler manifolds.

math.AG2026

A rational surface with discrete and non-finitely generated automorphism group

Tien-Cuong Dinh, Keiji Oguiso, Xun Yu +1

We construct a smooth complex projective rational surface whose automorphism group is discrete and not finitely generated. It is obtained by blowing up a point on a branch curve of…

math.AG2026

On algebraic dynamics of birational automorphisms of Calabi-Yau manifolds and the universal Coxeter groups

Keiji Oguiso

This is a continuation of our study of algebraic dymanics of birational automorphisms of complex Calabi-Yau manifolds in the view of primitivity and the existence of Zariski dense…

math.AG2026

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…

math.AG2026

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…

math.AG2025

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 counter…