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math.NT2010
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…
math.NT2010
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…
math.NT2010★ 5 cited
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…