The Dynamical Mordell-Lang Conjecture for Polynomial Endomorphisms of the Affine Plane
Author | : Junyi Xie |
Publisher | : |
Total Pages | : 110 |
Release | : 2017 |
ISBN-10 | : 2856298699 |
ISBN-13 | : 9782856298695 |
Rating | : 4/5 (99 Downloads) |
Download or read book The Dynamical Mordell-Lang Conjecture for Polynomial Endomorphisms of the Affine Plane written by Junyi Xie and published by . This book was released on 2017 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we prove the Dynamical Mordell-Lang Conjecture for polynomial endomorphisms of the affine plane over the algebraic numbers. More precisely, let f be an endomorphism of the affine plan over the algebraic numbers. Let x be a point in the affine plan and C be a curve. If the intersection of C and the orbits of x is infinite, then C is periodic.