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Rational Points on Curves of Genus 2: Experiments and Speculations

Authors: Michael Stoll

Published in: Dagstuhl Seminar Proceedings, Volume 9221, Algorithms and Number Theory (2009)

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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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)

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@InProceedings{stoll:DagSemProc.09221.5,
  author =	{Stoll, Michael},
  title =	{{Rational Points on Curves of Genus 2: Experiments and Speculations}},
  booktitle =	{Algorithms and Number Theory},
  pages =	{1--4},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{9221},
  editor =	{Johannes A. Buchmann and John Cremona and Michael E. Pohst},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.09221.5},
  URN =		{urn:nbn:de:0030-drops-21246},
  doi =		{10.4230/DagSemProc.09221.5},
  annote =	{Keywords: Rational points, genus 2}
}

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Rational Points on Curves of Genus 2: Experiments and Speculations

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