Remarks about uniform boundedness of rational points over function fields

2000/04/12 by Lucia Caporaso, Caporaso, Lucia
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions #math.AG

paper · pdf · doi:10.48550/arxiv.math/0004078

Major changes and additions. Error in section 2 and its consequences eliminated

openalex publication_date 2000/04/12 · arxiv created 2000/12/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a few uniform versions of the Mordell-Lang Conjecture and of the Shafarevich Conjecture for curves over function fields and their rational points. The main focus is on function fields having high transcendence degree over the complex numbers.

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