Rational Points on Symmetric Products of a Curve

DOI10.2307/2374836zbMath0749.14013OpenAlexW2320988547MaRDI QIDQ3974141

Joseph H. Silverman

Publication date: 25 June 1992

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374836

zbMATH Keywords

Jacobian varietydiophantine equationsMordell conjecturecurves over number fieldsquadratic pointarithmetic gap priciplegap principle for abelian varietiesgeometric gap principlesymmetric power of algebraic curves

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Arithmetic ground fields for abelian varieties (14K15) Higher degree equations; Fermat's equation (11D41)

Related Items (3)

Arithmetic discriminants and morphisms of curves ⋮ Height uniformity for integral points on elliptic curves ⋮ A Generalization of Theorems of Faltings and Thue-Siegel-Roth-Wirsing

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