Rationality of N\'eron-Tate height over function fields
Number Theory
2023-09-25 v1 Algebraic Geometry
Abstract
We prove that the N\'eron-Tate height of subvarieties are always rational numbers. We use the induction formula, and characterize the canonical metric by theta functions.
Cite
@article{arxiv.2309.12952,
title = {Rationality of N\'eron-Tate height over function fields},
author = {Chengyuan Yang},
journal= {arXiv preprint arXiv:2309.12952},
year = {2023}
}