7 citations · 17 across the 6 of their papers we have counts for
9 papers
GIT Stability of Henon Maps
Chong Gyu Lee, Joseph H. Silverman
In this paper we study the locus of generalized degree Henon maps in the parameter space of degree rational maps modu…
The equidistribution of small point for strongly regular pairs of polynomial maps
Chong Gyu Lee
In this paper, we prove the equidistribution of periodic points of a regular polynomial automorphism f : A^n -> A^n defined over a number field K: let f be a regular polynomial aut…
Finiteness of commutable maps of bounded degree
Chong Gyu Lee, Hexi Ye
In this paper, we study the relation between two dynamical systems (V,f) and (V,g) with f. g = g . f. As an application, we show that an endomorphism (respectively a polynomial map…
Equidistribution of periodic points of some automorphisms on K3 surfaces
Chong Gyu Lee
We say (W, \{ϕ_1,..., ϕ_t\}) is a polarizable dynamical system of several morphisms if ϕ_i are endomorphisms on a projective variety such that \bigotimes ϕ_i^*L is linearly equ…
The numerical equivalence relation for height functions and ampleness and nefness criteria for divisors
Chong Gyu Lee
In this paper, we study properties of Weil height functions associated with numerically trivial divisors. It helps us to define the fractional limit of with respect to …
Height estimates for dominant endomorphisms on projective varieties
Chong Gyu Lee
A polarizable endomorphism on a projective variety enables us to consider given morphism as constant multiplication in the height function. In this paper, we will generalize it for…
Height bound and preperiodic points for jointly regular families of rational maps
ChongGyu Lee
Silverman proved a height inequality for jointly regular family of rational maps and the author improved it for jointly regular pairs. In this paper, we provide the same improvemen…
Maximal ratio of coefficients of divisors and an upper bound for height for rational maps
ChongGyu Lee
When we have a morphism f : P^n -> P^n, then we have an inequality \frac{1}{°f} h(f(P)) +C > h(P) which provides a good upper bound of . However, if is a rational map, th…
An upper bound for the height for regular affine automorphisms of A^n
ChongGyu Lee
In 2006, Kawaguchi proved a lower bound for height of h(f(P)) when f is a regular affine automorphism of A^2, and he conjectured that a similar estimate is also true for regular af…