Rational points on algebraic curves that change genus

DOI10.1006/jnth.1997.2176zbMath0902.14014OpenAlexW1988317404MaRDI QIDQ1377592

Sangtae Jeong

Publication date: 7 December 1998

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1997.2176

zbMATH Keywords

function fieldcharacteristic \(p\)finite number of rational pointsgenus-changing algebraic curvesnon-conservative algebraic curve

Mathematics Subject Classification ID

Rational points (14G05) Special algebraic curves and curves of low genus (14H45) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (1)

Rational points on Picard groups of some genus-changing curves of genus at least 2

Cites Work

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• Lang's Conjectures, Fibered Powers, and Uniformity
• Lectures on old and new results on algebraic curves
• A Diophantine problem on algebraic curves over function fields of positive characteristic
• Zur Konservativität algebraischer Funktionenkörper.
• Le Theoreme de Fermat-Goss
• Varieties Defined by Quadratic Equations
• Genus Change in Inseparable Extensions of Function Fields

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