Integer points and models of algebraic curves

DOI10.1007/BF01305778zbMath0811.11023OpenAlexW123290555MaRDI QIDQ1335540

Dimitrios Poulakis

Publication date: 9 October 1994

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178661

zbMATH Keywords

algebraic curvesglobal fieldcyclic coveringseffective computation of integer pointsexplicit upper bounds for the heights of integer pointsinteger points on curves of genus 2integer points on quartic equations

Mathematics Subject Classification ID

[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)] Cubic and quartic Diophantine equations (11D25)

Related Items (3)

Effective estimation of integer points of a family of algebraic curves ⋮ Polynomial bounds for the solutions of a class of diophantine equations ⋮ Siegel's theorem and the Shafarevich conjecture

Cites Work

• Fields of large transcendence degree generated by values of elliptic functions
• Construction and estimation of bases in function fields
• Eisenstein's theorem on power series expansions of algebraic functions
• Points entiers sur les courbes hyperelliptiques
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