Bornes sur le nombre de points rationnels des courbes : en quête d’uniformité

DOI10.1090/conm/770/15439OpenAlexW2335944636MaRDI QIDQ5043438

Fabien Pazuki

Publication date: 21 October 2022

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04907

zbMATH Keywords

rational pointsMordell conjectureFalting's Theorem

Mathematics Subject Classification ID

Rational points (14G05) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Heights (11G50) Global ground fields in algebraic geometry (14G25)

Cites Work

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• Lower bound of the Néron-Tate height on abelian surfaces
• Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves
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• Finiteness theorems for abelian varieties over number fields.
• Uniform boundedness for rational points
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• An effective matrix lemma
• Uniformity in Mordell-Lang for curves
• Theta height and Faltings height
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• Nombre de points rationnels des courbes
• Arithmetic on curves
• Minorations de hauteurs sur les variétés abéliennes
• Minoration de la hauteur de Néron-Tate sur les variétés abÉliennes de type C. M
• Conjectures uniformes sur les variétés abéliennes
• Uniformity of rational points
• Counting in a conjecture of Lang

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