Canonical Height Functions For Monomial Maps

Abstract

We show that the canonical height function defined by Silverman does not have the Northcott finiteness property in general. We develop a new canonical height function for monomial maps. In certain cases, this new canonical height function has nice properties.

References in corpus (4)

• Local and global canonical height functions for affine space regular automorphisms
• Algebraic stability and degree growth of monomial maps and polynomial maps
• An upper bound for the height for regular affine automorphisms of A^n
• On Degree Growth and Stabilization of Three Dimensional Monomial Maps

Cited by in corpus (1)

• On variation of dynamical canonical heights, and Intersection numbers