Solving genus zero Diophantine equations with at most two infinite valuations

DOI10.1006/jsco.2001.0515zbMath0998.11014OpenAlexW2044040420MaRDI QIDQ1600044

Dimitrios Poulakis, Voskos, Evaggelos

Publication date: 11 June 2002

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.2001.0515

zbMATH Keywords

curves of genus zero

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Multiplicative and norm form equations (11D57)

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Affine curves with infinitely many integral points ⋮ An algorithm for checking injectivity of specialization maps from elliptic surfaces ⋮ Solving genus zero Diophantine equations over number fields ⋮ Diophantine equations with three monomials ⋮ Rational Bézier curves with infinitely many integral points ⋮ CHARACTERIZING ALGEBRAIC CURVES WITH INFINITELY MANY INTEGRAL POINTS ⋮ Computing singular points of projective plane algebraic curves by homotopy continuation methods ⋮ Polynomial parametrization of the solutions of Diophantine equations of genus 0

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