The Dynamical Mordell-Lang Conjecture for Polynomial Endomorphisms of the Affine Plane
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Author | : Junyi Xie |
Publisher | : |
Total Pages | : 110 |
Release | : 2017 |
ISBN-10 | : 2856298699 |
ISBN-13 | : 9782856298695 |
Rating | : 4/5 (99 Downloads) |
Book Synopsis The Dynamical Mordell-Lang Conjecture for Polynomial Endomorphisms of the Affine Plane by : Junyi Xie
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.