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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 by Type: 期刊论文
2024
Fu B, Ou W, Xie J
.
On Fano manifolds of Picard number one with big automorphism groups
. Math. Res. Lett. [Internet]. 2024;31(1): 175–191.
pdf
Xie J
.
Algebraicity criteria, invariant subvarities and transcendence problems from arithmetic dynamics
. Peking Mathematical Journal [Internet]. 2024;7(1):345-398.
pdf
2023
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
.
Families of commuting automorphisms, and a characterization of the affine space
. American Journal of Mathematics [Internet]. 2023;145(2): 413-434.
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
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
2022
Xie J, with an appendix in collaboration with Tucker T
.
The existence of Zariski dense orbits for endomorphisms of projective surfaces
. J. Amer. Math. Soc. [Internet]. 2022;published on line.
pdf
Javanpeykar A, Xie J
.
Finiteness properties of pseudo-hyperbolic varieties, International Mathematics Research Notices
. International Mathematics Research Notices [Internet]. 2022;2022(3):1601–1643.
arXiv:1909.12187
Cantat S, Paris-Romaskevich O, Xie J
.
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
2021
Cantat S, Gao Z, Habegger P, Xie J
.
The geometric Bogomolov conjecture
. Duke Math. J. [Internet]. 2021;170(2):247–277.
pdf
Cantat S, Déserti J, Xie J
.
Three chapters on Cremona groups
. Indiana Univ. Math. J. [Internet]. 2021;70(5):2011-2064.
pdf
2020
Cantat S, Xie J
.
On degrees of birational mappings
. Math. Res. Lett. [Internet]. 2020;27(2):319–337.
pdf
Ghioca D, Xie J
.
The Dynamical Mordell-Lang Conjecture for skew-linear self-maps. Appendix by Michael Wibmer
. International Mathematics Research Notices [Internet]. 2020;2020(21): 7433–7453.
pdf
2018
Cantat S, Xie J
.
Algebraic actions of discrete groups: the p-adic method
. Acta Mathematica [Internet]. 2018; 220(2):239-295.
pdf
Xie J
.
Algebraic dynamics of the lifts of Frobenius
. Algebra & Number Theory [Internet]. 2018;12(7):1715–1748.
pdf
Ghioca D, Xie J
.
Algebraic dynamics of skew-linear self-maps
. Proc. Amer. Math. Soc. [Internet]. 2018;146(10):4369–4387.
pdf
2017
Xie J
.
The dynamical Mordell-Lang conjecture for polynomial endomorphisms of the affine plane
. Astérisque [Internet]. 2017;394:vi+110.
pdf
Xie J
.
The existence of Zariski dense orbits for polynomial endomorphisms on the affine plane
. Compositio Mathematica [Internet]. 2017;153(8):1658-1672.
pdf
2015
Xie J
.
Intersection of valuation rings in k[x,y]
. Proc. Lond. Math. Soc. (3) . 2015;111(1):240-274.
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成果类型
Unpublished
(17)
期刊论文
(22)
成果概览
2024
(7)
2023
(11)
2022
(5)
2021
(3)
2020
(4)
2018
(3)
2017
(2)
2016
(1)
2015
(2)
2014
(1)
最新科研成果
Numerical spectrums control Cohomological spectrums
Arithmetic degree and Zariski dense orbit conjecture
The moduli space of a rational map is Carathéodory hyperbolic
更多成果