Liang-Chung Hsia

activity

20032025

most citedPreperiodic points for families of rational map

41 citations · 51 across the 12 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.NT2018

Heights and periodic points for one-parameter families of Hénon maps

Liang-Chung Hsia, Shu Kawaguchi

In this paper we study arithmetic properties of a one-parameter family $H$ of Hénon maps over the affine line. Given a family of initial points $P$ satisfying a…

math.NT2018

Finite index theorems for iterated Galois groups of unicritical polynomials

Andrew Bridy, John R. Doyle, Dragos Ghioca +2

Let $K$ be the function field of a smooth, irreducible curve defined over $Q$ . Let $f \in K [x]$ be of the form $f (x) = x^{q} + c$ where $q = p^{r}, r \geq 1,$ is a powe…