An upper bound for the number of $S$-integral points on curves of genus zero

DOI10.4064/cm8345-4-2021zbMath1492.11108OpenAlexW3217426590MaRDI QIDQ5066085

Dimitrios Poulakis

Publication date: 29 March 2022

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm8345-4-2021

zbMATH Keywords

\(S\)-integral pointscurves of genus zeroRiemann-Roch basis

Mathematics Subject Classification ID

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)] Higher degree equations; Fermat's equation (11D41) Global ground fields in algebraic geometry (14G25)

Cites Work

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• Explicit Chevalley-Weil theorem for affine plane curves
• On equations in S-units and the Thue-Mahler equation
• Construction and estimation of bases in function fields
• Bounds for the size of integral points on curves of genus zero
• REMARKS ON EISENSTEIN
• On Some Applications of Diophantine Approximations
• Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n
• Bounds for the minimal solution of genus zero diophantine equations
• Points entiers sur les courbes de genre 0
• On the number of integral points on algebraic curves
• Integer points on elliptic curves

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