Uniform boundedness for rational points

DOI10.1215/S0012-7094-97-08803-7zbMath0935.14016arXivalg-geom/9601004OpenAlexW2095482735MaRDI QIDQ1363171

Patricia L. Pacelli

Publication date: 30 September 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9601004

zbMATH Keywords

set of rational pointsnumber of rational points of curves

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) [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)]

Related Items (10)

Bornes sur le nombre de points rationnels des courbes : en quête d’uniformité ⋮ A high fibered power of a family of varieties of general type dominates a variety of general type ⋮ The number of rational points on a curve of genus at least two ⋮ Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell-Weil rank ⋮ Hyperbolicity of Varieties of Log General Type ⋮ Positive existential definability of multiplication from addition and the range of a polynomial ⋮ Height uniformity for integral points on elliptic curves ⋮ The $abc$ Conjecture implies the Weak Diversity Conjecture ⋮ Remarks about uniform boundedness of rational points over function fields ⋮ Uniform bounds for integral points on families of elliptic curves

Cites Work

• Lang's Conjectures, Fibered Powers, and Uniformity
• Die Additivität der Kodaira Dimension für projektive Faserräume über Varietäten des allgemeinen Typs.
• Uniformity of rational points
• Unnamed Item

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