Rational Points on Curves of Genus 2: Experiments and Speculations

Author Michael Stoll



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Michael Stoll

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Michael Stoll. Rational Points on Curves of Genus 2: Experiments and Speculations. In Algorithms and Number Theory. Dagstuhl Seminar Proceedings, Volume 9221, pp. 1-4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009) https://doi.org/10.4230/DagSemProc.09221.5

Abstract

I will present results of computations providing statistics on rational points on (small) curves of genus 2 and use them to present several conjectures. Some of them are based on heuristic considerations, others are not.

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  • Rational points
  • genus 2

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