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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)
演讲(Talks)
相关链接(Links)
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科研成果(Publications)
2022
Favre C, Truong TT, Xie J
.
Topological entropy of a rational map over a complete metrized field
. [Internet]. 2022.
pdf
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
.
Geometric Bogomolov conjecture in arbitrary characteristics
. Inventiones mathematicae. [Internet]. 2022;229(2):607–637.
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
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
2020
Cantat S, Xie J
.
Birational conjugacies between endomorphisms on the projective plane
. [Internet]. 2020.
arXiv:2006.00051
Xie J
.
Continuous functions on Berkovich spaces
. [Internet]. 2020.
arXiv:2011.12078
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
Ghioca D, Xie J
.
Algebraic dynamics of skew-linear self-maps
. Proc. Amer. Math. Soc. [Internet]. 2018;146(10):4369–4387.
pdf
Xie J
.
Algebraic dynamics of the lifts of Frobenius
. Algebra & Number Theory [Internet]. 2018;12(7):1715–1748.
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
2016
Jonsson M, Wulcan E, Xie J
.
Invariant pencils for polynomial selfmaps of the affine plane
. [Internet]. 2016.
pdf
2015
Xie J
.
Intersection of valuation rings in k[x,y]
. Proc. Lond. Math. Soc. (3) . 2015;111(1):240-274.
Xie J
.
Periodic points of birational transformations on projective surfaces
. Duke Math. J. [Internet]. 2015;164(5):903-932.
pdf
2014
Xie J
.
Dynamical Mordell-Lang conjecture for birational polynomial morphisms on A
2
. Math. Ann. [Internet]. 2014;360:457-480.
pdf
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最新科研成果
Numerical action for endomorphisms
The existence of Zariski dense orbits for endomorphisms of projective surfaces. With an appendix in collaboration with Thomas Tucker
Numerical spectrums control Cohomological spectrums
更多成果