Keping Huang

activity

20182024

most citedA Tits alternative for rational functions

2 citations · 2 across the 2 of their papers we have counts for

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math.NT2024

A New Diophantine Approximation Inequality on Surfaces and Its Applications

Keping Huang, Aaron Levin, Zheng Xiao

We prove a Diophantine approximation inequality for closed subschemes on surfaces which can be viewed as a joint generalization of recent inequalities of Ru-Vojta and Heier-Levin i…

math.NT2021★ 2 cited

A Tits alternative for rational functions

Jason P. Bell, Keping Huang, Wayne Peng +1

We prove an analog of the Tits alternative for rational functions. In particular, we show that if $S$ is a finitely generated semigroup of rational functions over the complex numbe…

math.NT2019

Uniform Bounds for Periods of Endomorphisms of Varieties

Keping Huang

Suppose $X$ is a projective variety defined over a finite extension $K$ of $Q_{p}$ and suppose $X$ admits a model $X$ defined over the ring of integers $R$ of $K$ .…

math.NT2018

A Gap Principle for Subvarieties with Finitely Many Periodic Points

Keping Huang

Let $f : X \to X$ be a quasi-finite endomorphism of an algebraic variety $X$ defined over a number field $K$ and fix an initial point $a \in X$ . We consider a special case of t…