8 citations · 42 across the 19 of their papers we have counts for
21 papers
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…
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…
Automorphism groups of cubic fivefolds and fourfolds
Song Yang, Xun Yu, Zigang Zhu
In this paper, we introduce notions of partitionability and characteristic sets of homogeneous polynomials and give a complete classification of groups faithfully acting on smooth…
Bloch's conjecture for (anti-)autoequivalences on K3 surfaces
Zhiyuan Li, Xun Yu, Ruxuan Zhang
In this paper, we investigate Bloch's conjecture for autoequivalence on K3 surfaces. We introduce the notion of reflective autoequivalence of twisted K3 surfaces and prove Bloch's…
K3 surface entropy and automorphism groups
Xun Yu
We derive a characterization of the complex projective K3 surfaces which have automorphisms of positive entropy in term of their Néron-Severi lattices. Along the way, we classify t…
Smooth projective surfaces with infinitely many real forms
Tien-Cuong Dinh, Cécile Gachet, Hsueh-Yung Lin +3
The aim of this paper is twofold. First of all, we confirm a few basic criteria of the finiteness of real forms of a given smooth complex projective variety, in terms of the Galois…