Rationality of Néron-Tate height over function fields

2023/09/22 by Chengyuan Yang, Yang, Chengyuan
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #History and Theory of Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2309.12952

openalex publication_date 2023/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the Néron-Tate height of subvarieties are always rational numbers. We use the induction formula, and characterize the canonical metric by theta functions.

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