Corrections to {\it Uniformity of rational points} and further comments
Lucia Caporaso, Joe Harris, Barry Mazur
TL;DR
This paper addresses and corrects an error in previous work on the uniformity of rational points, providing stronger lemmas to support the theoretical framework.
Contribution
It introduces corrected and strengthened lemmas that improve the foundational results on the uniformity of rational points.
Findings
Corrected an error in earlier proofs
Proved stronger forms of key lemmas
Enhanced theoretical understanding of rational point distribution
Abstract
This paper corrects an error in the authors' earlier work, by proving stronger forms of the basic lemmas
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems · Polynomial and algebraic computation