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arXiv · 2005.05933

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

Ariyan Javanpeykar·Ruiran Sun·Kang Zuo
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Abstract

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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Ariyan Javanpeykar, Ruiran Sun, Kang Zuo. 2020-05-12. The Shafarevich conjecture revisited: Finiteness of pointed families of polarized varieties. https://arxiv.org/abs/2005.05933

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