Mathematical Research Letters

Volume 30 (2023)

Number 5

Finiteness of non-constant maps over a number field

Pages: 1521 – 1534

DOI: https://dx.doi.org/10.4310/MRL.2023.v30.n5.a9

Author

Ariyan Javanpeykar (Institut für Mathematik, Johannes Gutenberg-Universität Mainz, Germany)

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.

Received 19 August 2021

Received revised 22 November 2021

Accepted 21 December 2021

Published 14 May 2024