The Dynamical Mordell-Lang Conjecture for polynomial endomorphisms of the affine plane

2015/03/02 by Xie, Junyi · 2 citations
#Algebraic Geometry (math.AG) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1503.00773

Abstract

In this paper we prove the Dynamical Mordell-Lang Conjecture for polynomial endomorphisms of the affine plane.

Cited by

• Rational self-maps of projective surfaces with a regular iterate
• Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties

Related

• Dynamical Mordell-Lang conjecture for birational polynomial morphisms on \mathbbA²
• Mordell-Lang and Skolem-Mahler-Lech theorems for endomorphisms of semiabelian varieties
• The dynamical Mordell-Lang problem for etale maps
• The Dynamical Mordell-Lang Conjecture for endomorphisms of semiabelian varieties defined over fields of positive characteristic
• Around the dynamical Mordell-Lang conjecture