科研成果(Publications)

2023
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
Xie J. 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
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

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