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12 paper(s) uploaded by xiejunyi.

Index	Title	Upload Time	Modified Time
1	Dynamical Mordell-Lang conjecture for birational polynomial morphisms on A^2 Junyi Xie IRMAR, CNRS Dynamical Systems mathscidoc:1908.11001 Math. Ann., 2014 [ Download ] [ 2019-08-21 18:16:48 uploaded by xiejunyi ] [ 637 downloads ] [ 0 comments ] Abstract × We prove the dynamical Mordell-Lang conjecture for birational polynomial morphisms on A^2. OK [ Abstract ] [ Full ] Please log in for comment!	2019-08-21 18:16:48	2019-08-21 18:22:03
2	Intersection of valuation rings in k[x, y] Junyi Xie IRMAR, CNRS Arithmetic Geometry and Commutative Algebra mathscidoc:1908.07001 Proc. London Math. Soc. , 2015 [ Download ] [ 2019-08-21 18:20:52 uploaded by xiejunyi ] [ 726 downloads ] [ 0 comments ] Abstract × We associate to any given finite set of valuations on the polynomial ring in two variables over an algebraically closed field a numerical invariant whose positivity characterizes the case when the intersection of their valuation rings has maximal transcendence degree over the base fields. As an application, we give a criterion for when an analytic branch at infinity in the affine plane that is defined over a number field in a suitable sense is the branch of an algebraic curve. OK [ Abstract ] [ Full ] Please log in for comment!	2019-08-21 18:20:52	-
3	The dynamical Mordell-Lang conjecture for polynomial endomorphisms of the affine plane Junyi Xie IRMAR, CNRS Dynamical Systems mathscidoc:1908.01001 Astérisque, 2017 [ Download ] [ 2019-08-21 18:24:51 uploaded by xiejunyi ] [ 631 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2019-08-21 18:24:51	-
4	Algebraic actions of discrete groups: the p-adic method Serge Cantat IRMAR,CNRS Junyi Xie IRMAR,CNRS Dynamical Systems mathscidoc:1908.01002 Silver Award Paper in 2020 Acta Mathematica, 220, (2), 239 – 295, 2018 [ Download ] [ 2019-08-21 18:28:11 uploaded by xiejunyi ] [ 782 downloads ] [ 0 comments ] Abstract × We study groups of automorphisms and birational transformations of quasi-projective varieties. Two methods are combined; the first one is based on p-adic analysis, the second makes use of isoperimetric inequalities and Lang–Weil estimates. For instance, we show that, if SLn(Z) acts faithfully on a complex quasi-projective variety X by birational transformations, then dim(X)⩾n−1 and X is rational if dim(X)=n−1. OK [ Abstract ] [ Full ] Please log in for comment!	2019-08-21 18:28:11	2019-11-26 16:44:54
5	The existence of Zariski dense orbits for polynomial endomorphisms of the affine plane Junyi Xie IRMAR,CNRS Dynamical Systems mathscidoc:1908.01003 Compositio Mathematica., 2017 [ Download ] [ 2019-08-21 18:30:41 uploaded by xiejunyi ] [ 626 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2019-08-21 18:30:41	-
6	Algebraic dynamics of the lifts of Frobenius Junyi Xie IRMAR,CNRS Dynamical Systems mathscidoc:1908.01004 Algebra & Number Theory, 2018 [ Download ] [ 2019-08-21 18:33:18 uploaded by xiejunyi ] [ 691 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2019-08-21 18:33:18	-
7	Algebraic dynamics of skew-linear self-maps Dragos Ghioca Junyi Xie Dynamical Systems mathscidoc:1908.01005 Proc. Amer. Math. Soc., 2018 [ Download ] [ 2019-08-21 18:35:56 uploaded by xiejunyi ] [ 547 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2019-08-21 18:35:56	-
8	On degrees of birational mappings Serge Cantat Junyi Xie Dynamical Systems mathscidoc:1908.11002 2018 [ Download ] [ 2019-08-21 18:37:47 uploaded by xiejunyi ] [ 647 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2019-08-21 18:37:47	-
9	The Dynamical Mordell-Lang Conjecture for skew-linear self-maps. Appendix by Michael Wibmer Dragos Ghioca Junyi Xie Dynamical Systems mathscidoc:1908.01006 2018 [ Download ] [ 2019-08-21 18:39:58 uploaded by xiejunyi ] [ 386 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2019-08-21 18:39:58	2019-08-21 18:40:45
10	The geometric Bogomolov conjecture Serge Cantat Ziyang Gao Philipp Habegger Junyi Xie Number Theory mathscidoc:1908.01007 2018.9 [ Download ] [ 2019-08-21 18:43:15 uploaded by xiejunyi ] [ 612 downloads ] [ 52 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2019-08-21 18:43:15	2021-09-07 12:49:24

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