Finiteness of non-constant maps over number fields
Number Theory
2021-12-22 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2112.11408,
title = {Finiteness of non-constant maps over number fields},
author = {Ariyan Javanpeykar},
journal= {arXiv preprint arXiv:2112.11408},
year = {2021}
}