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Stoll, Michael

Rational Points on Curves of Genus 2: Experiments and Speculations

09221.StollMichael.ExtAbstract.2124.pdf (0.2 MB)


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.

BibTeX - Entry

  author =	{Michael Stoll},
  title =	{Rational Points on Curves of Genus 2: Experiments and Speculations},
  booktitle =	{Algorithms and Number Theory },
  year =	{2009},
  editor =	{Johannes A. Buchmann and John Cremona and Michael E. Pohst},
  number =	{09221},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{},
  annote =	{Keywords: Rational points, genus 2}

Keywords: Rational points, genus 2
Collection: 09221 - Algorithms and Number Theory
Issue Date: 2009
Date of publication: 20.08.2009

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