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谢俊逸/ Junyi Xie
北京大学数学科学学院(北京国际数学研究中心 / BICMR)
镜春园 78 号院 78303 室 / Jingchunyuan Courtyard 78, Office 78303
xiejunyi@bicmr.pku.edu.cn
(email)
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科研成果(Publications)
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科研成果(PUBLICATIONS)
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科研成果
2025
Xie J, Yang S
.
On the dynamical Mordell–Lang conjecture in positive characteristic
. International Mathematics Research Notices [Internet]. 2025;2025(9):23pp.
pdf
Ji Z, Xie J
.
The multiplier spectrum morphism is generically injective
. Journal of the European Mathematical Society [Internet]. 2025:18pp.
pdf
Xie J
.
The existence of Zariski dense orbits for endomorphisms of projective surfaces. With an appendix in collaboration with Thomas Tucker
. J. Amer. Math. Soc. [Internet]. 2025;38(1):1-62.
pdf
2024
Xie J
.
Numerical spectrums control Cohomological spectrums
. [Internet]. 2024.
pdf
Xie J
.
Algebraic dynamics and recursive inequalities
. [Internet]. 2024.
pdf
Xie J
.
Algebraicity criteria, invariant subvarities and transcendence problems from arithmetic dynamics
. Peking Mathematical Journal [Internet]. 2024;7(1):345-398.
pdf
Fu B, Ou W, Xie J
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On Fano manifolds of Picard number one with big automorphism groups
. Math. Res. Lett. [Internet]. 2024;31(1): 175–191.
pdf
2023
Xie J
.
Around the dynamical Mordell-Lang conjecture
. [Internet]. 2023.
pdf
Ji Z, Xie J
.
DAO for curves
. [Internet]. 2023.
pdf
Ji Z, Xie J
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Local rigidity of Julia sets
. [Internet]. 2023.
pdf
Ji Z, Xie J
.
Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics
. Forum of Mathematics, Pi [Internet]. 2023;Volume 11.
pdf
Cantat S, Regeta A, Xie J
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Families of commuting automorphisms, and a characterization of the affine space
. American Journal of Mathematics [Internet]. 2023;145(2): 413-434.
pdf
Xie J
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Remarks on algebraic dynamics in positive characteristic
. Journal für die reine und angewandte Mathematik (Crelle), published on line [Internet]. 2023.
pdf
Jia J, Xie J, Zhang D-Q
.
Surjective endomorphisms of projective surfaces - the existence of infinitely many dense orbits
. Mathematische Zeitschrift [Internet]. 2023;303(39).
pdf
2022
Cantat S, Paris-Romaskevich O, Xie J
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Free actions of Large groups on complex threefold
. Bulletin of London Mathematical Society [Internet]. 2022;54(5):1791-1803.
pdf
Xie J, Yuan X
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Geometric Bogomolov conjecture in arbitrary characteristics
. Inventiones mathematicae. [Internet]. 2022;229(2):607–637.
pdf
Javanpeykar A, Xie J
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Finiteness properties of pseudo-hyperbolic varieties, International Mathematics Research Notices
. International Mathematics Research Notices [Internet]. 2022;2022(3):1601–1643.
arXiv:1909.12187
2021
Jia J, Shibata T, Xie J, Zhang D-Q
.
Endomorphisms of quasi-projective varieties -- towards Zariski dense orbit and Kawaguchi-Silverman conjectures
. [Internet]. 2021.
pdf
Cantat S, Déserti J, Xie J
.
Three chapters on Cremona groups
. Indiana Univ. Math. J. [Internet]. 2021;70(5):2011-2064.
pdf
Cantat S, Gao Z, Habegger P, Xie J
.
The geometric Bogomolov conjecture
. Duke Math. J. [Internet]. 2021;170(2):247–277.
pdf
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Unpublished
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期刊论文
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2026
(13)
2025
(10)
2024
(4)
2023
(7)
2022
(3)
2021
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2020
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2016
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最新科研成果
Dynamical degrees of twisted rational maps
Genus and Gonality of Small Curves, Dynamical Uniform Boundedness, and Bifurcation
Recent progress on the Geometric Bombieri-Lang conjecture
更多成果