A consequence of the relative Bogomolov conjecture

Autor:	Dimitrov, Vesselin, Gao, Ziyang, Habegger, Philipp
Rok vydání:	2020
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry 11G30 11G50 14G05 14G25
Druh dokumentu:	Working Paper
Popis:	We propose a formulation of the relative Bogomolov conjecture and show that it gives an affirmative answer to a question of Mazur's concerning the uniformity of the Mordell-Lang conjecture for curves. In particular we show that the relative Bogomolov conjecture implies the uniform Manin-Mumford conjecture for curves. The proof is built up on our previous work "Uniformity in Mordell-Lang for curves". Comment: To appear in JNT Special Volume Biennal Conference 2019. Some recent results updated. Comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.08505 Zobrazit plný text záznamu View this record from Arxiv