Finiteness of non-constant maps over number fields

Ariyan Javanpeykar

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arXiv · 2112.11408

Finiteness of non-constant maps over number fields

Ariyan Javanpeykar

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Abstract

Motivated by the intermediate Lang conjectures on hyperbolicity and rational points, we prove new finiteness results for non-constant morphisms from a fixed variety to a fixed variety defined over a number field by applying Faltings's finiteness results to moduli spaces of maps.

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Ariyan Javanpeykar. 2021-12-21. Finiteness of non-constant maps over number fields. https://arxiv.org/abs/2112.11408

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