论文标题
$ abcd $猜想，统一界和动态系统
The $abcd$ conjecture, uniform boundedness, and dynamical systems
论文作者
论文摘要
我们调查了Vojta对$ ABC $猜想和Szpiro的猜想以及最近的发展的高度概括，这些发展将其应用于算术动力学中的各种问题。特别是，“ $ abcd $猜想”意味着一个猜想在扭转点统一界面上的动态类似物，以及朗的猜想对规范高度的下限的动态类似物。
We survey Vojta's higher-dimensional generalizations of the $abc$ conjecture and Szpiro's conjecture as well as recent developments that apply them to various problems in arithmetic dynamics. In particular, the "$abcd$ conjecture" implies a dynamical analogue of a conjecture on the uniform boundedness of torsion points and a dynamical analogue of Lang's conjecture on lower bounds for canonical heights.
