8 papers · 1 filter
Totally invariant subvarieties of
Yujie Luo, Sheng Meng
Let be an endomorphism of degree greater than one. We prove that every irreducible Zariski closed subset with $f^{-1}(V)=V…
Varieties Admitting Polarized Galois Endomorphisms
Zhiyuan Jiang, Yujie Luo
Let be an -dimensional smooth complex projective variety admitting an int-amplified Galois endomorphism. We prove that its maximal rationally connected fibration is represen…
Sharp Bounds for Totally Invariant Cycles of Projective Varieties
Wentao Chang, Yujie Luo
Let be a smooth projective variety, an int-amplified endomorphism, and any ample line bundle on . We prove that, in every codimension, the total degree of pri…
Log Calabi--Yau structure for endomorphisms on
Yujie Luo, Sheng Meng
Let be a -polarized endomorphism, where , and let be its ramification divisor. We study the singularities of the ramification pair $(\…
Galois self-covers of projective spaces and essential dimensions
Yujie Luo, De-Qi Zhang
We give the structure theorem of Galois self-covers . As an application, we show that the essential dimension of every such nontrivial cover attai…
Essential dimensions of polarized endomorphisms of certain algebraic surfaces
Qianli Fang, Yujie Luo, De-Qi Zhang
Let be a polarized endomorphism of a smooth projective surface which is birationally ruled. We answer a question of Kollár and Zhuang, in the affirmative, on the incom…
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…
Jordan property for automorphism groups of compact varieties
Yujie Luo, Sheng Meng, De-Qi Zhang
In this note, we report some recent progress on the Jordan property for (birational) automorphism groups of projective varieties and compact complex varieties.