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A note on Zariski dense orbit conjecture

Year: 2022
Type: preprint
Abstract: In this paper we first note a result of birational automorphisms with bounded degree of projective varieties related with the Zariski dense orbit conjecture (ZDO) and the Zariski density of periodic points. Next, we give a reduced result of ZDO for automorphisms of projective threefolds, and showed ZDO for automorphisms of projective varieties $X$ with the irregularity $q(X)\ge\dim X-1$.
Author: Li, Sichen
Language: English
Open Access status: green
OpenAlex ID: W4290057879
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