About the Proof of Lang's Height Conjecture

2017/06/08 by Benjamin Wagener, Wagener, Benjamin
Computer Science · Mathematics · #11G50 11G05 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Cryptography and Residue Arithmetic #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1706.03622

openalex publication_date 2017/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is an informal paper presenting historical results around the recent paper of the author about Lang's Conjecture and torsion of elliptic curves. This paper also discusses a few aspects of the proof.

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• Proof of Serge Lang's Heights Conjecture and an almost optimal Bound for the Torsion of Elliptic Curves
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• Explicit height bounds and the explicit Mordell-Lang Conjecture
• Experimental investigations on Lehmer's conjecture for elliptic curves
• An oft cited letter from Tate to Serre on computing local heights on elliptic curves