From the 1 of 6 linked papers with an AI index.
6 papers
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 $(\…
Sharp Bounds for Totally Invariant Cycles of Projective Varieties
Wentao Chang, Yujie Luo
The paper establishes explicit bounds on the total degree of prime cycles that become totally invariant under iterates of an int‑amplified endomorphism on smooth projective varieti…
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 inco…
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…
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.