Computing integral points on genus 2 curves estimating hyperelliptic logarithms

DOI10.4064/aa170315-16-4zbMath1443.11121OpenAlexW2911750911WikidataQ128377254 ScholiaQ128377254MaRDI QIDQ5376568

H. R. Gallegos-Ruiz

Publication date: 13 May 2019

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa170315-16-4

zbMATH Keywords

hyperelliptic curveintegral points

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) [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 (4)

The extension of the \(D(-k)\)-pair \(\{k,k+1\}\) to a quadruple ⋮ On the Diophantine equation \(\binom{n}{k} = \binom{m}{l} + d\) ⋮ The Diophantine equation Fn = P(x) ⋮ Equal values of certain partition functions via Diophantine equations

Uses Software

• Magma

Cites Work

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• Solving exponential diophantine equations using lattice basis reduction algorithms
• Integral points on hyperelliptic curves
• The Magma algebra system. I: The user language
• S-INTEGRAL POINTS ON HYPERELLIPTIC CURVES
• Computing integral points on elliptic curves
• Canonical heights on the Jacobians of curves of genus 2 and the infinite descent

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