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math.NT2022
Algebraicity criteria, invariant subvarities and transcendence problems from arithmetic dynamics
Junyi Xie
We introduce an algebraicity criteria. It has the following form: under certain conditions, an analytic subvariety of some algebriac variety over a global field , if it contains…
math.NT2018
The Dynamical Mordell-Lang Conjecture for skew-linear self-maps
Dragos Ghioca, Junyi Xie, with an appendix written by Michael Wibmer
Let k be an algebraically closed field of characteristic 0, let X=P^1\times A^N and let f be a rational endomorphism of X given by (x,y)--->(g(x), A(x)y), where g is a rational fun…