Height bound and preperiodic points for jointly regular families of rational maps
Abstract
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 improvement for jointly regular family; if S is a jointly regular set of rational maps, then Σf∈ S 1 f h(f(P) ) > (1+ 1r) f(P) - C where r = f∈ S r(f).
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