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.
BibTeX - Entry
@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.dagstuhl.de/opus/volltexte/2009/2124},
URN = {urn:nbn:de:0030-drops-21246},
doi = {10.4230/DagSemProc.09221.5},
annote = {Keywords: Rational points, genus 2}
}
Keywords: |
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Rational points, genus 2 |
Collection: |
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09221 - Algorithms and Number Theory |
Issue Date: |
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2009 |
Date of publication: |
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20.08.2009 |