Remarks about uniform boundedness of rational points over function fields

DOI10.1090/S0002-9947-03-03323-3zbMath1030.14022arXivmath/0004078MaRDI QIDQ4417271

Lucia Caporaso

Publication date: 28 July 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0004078

zbMATH Keywords

distribution of rational pointsarithmetic of rational pointscardinaltiy of the set of fibrationsuniform boundedness of rational pointsvarieties over function fields

Mathematics Subject Classification ID

Rational points (14G05) Families, moduli of curves (algebraic) (14H10) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Algebraic functions and function fields in algebraic geometry (14H05)

Cites Work

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• Meromorphic mappings onto compact complex spaces of general type
• Uniformity of stably integral points on elliptic curves
• Estimations du nombre d'applications rationnelles d'une variété fixe aux variétés de type général. (Estimates of the number of rational mappings from a fixed variety to varieties of general type.)
• Uniform boundedness for rational points
• Lang's Conjectures, Fibered Powers, and Uniformity
• On the Kodaira dimension of the moduli space of curves
• Uniformity of rational points

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