论文标题

重新审视的Shafarevich猜想:两极分化的尖头家庭的有限

The Shafarevich conjecture revisited: Finiteness of pointed families of polarized varieties

论文作者

Javanpeykar, Ariyan, Sun, Ruiran, Zuo, Kang

论文摘要

由Lang-vojta对双曲线品种的猜想的促进,我们证明了Shafarevich猜想的新版本,在其中我们确定了两极分化品种的有限族。然后,我们将算术应用于极化品种模量空间上积分点的有限性。

Motivated by Lang-Vojta's conjectures on hyperbolic varieties, we prove a new version of the Shafarevich conjecture in which we establish the finiteness of pointed families of polarized varieties. We then give an arithmetic application to the finiteness of integral points on moduli spaces of polarized varieties.

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