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20112026
most citedPeriodic points of birational maps on projective surfaces

57 citations · 128 across the 26 of their papers we have counts for

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3 papers · 1 filter

math.AG2021★ 5 cited

Geometric Bogomolov conjecture in arbitrary characteristics

Junyi Xie, Xinyi Yuan

The goal of this paper is to prove the full geometric Bogomolov conjecture. We first reduce it to the case that the extension of the base fields has transcendence degree 1, and the…

math.DS2021

Remarks on algebraic dynamics in positive characteristic

Junyi Xie

In this paper, we study arithmetic dynamics in arbitrary characteristic, in particular in positive characteristic. We generalise some basic facts on arithmetic degree and canonical…

math.AG2021★ 4 cited

Endomorphisms of quasi-projective varieties -- towards Zariski dense orbit and Kawaguchi-Silverman conjectures

Jia Jia, Takahiro Shibata, Junyi Xie +1

Let be a quasi-projective variety and a finite surjective endomorphism. We consider Zariski Dense Orbit Conjecture (ZDO), and Adelic Zariski Dense Orbit Conjec…