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Experimental Mathematics Volume 17, 2008 - Issue 2
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Original Article

Deciding Existence of Rational Points on Curves: An Experiment

Nils Bruin Department of Mathematics, Simon Fraser University, Burnaby, BC, Canada V5A 1S6
&
Michael Stoll School of Engineering and Science, Jacobs University Bremen, Campus Ring 1, 28759 Bremen, Germany
Pages 181-189 | Published online: 30 Jan 2011

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  • M. Stoll "Finite Coverings and Rational Points." Oberwolfach Report 32/2005, 2005.
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  • N. Bruin. Chabauty Methods and Covering Techniques Applied to Generalized Fermat Equations, CWI Tract 133. Amsterdam: Stichting Mathematisch Centrum voor Wiskunde en Informatica, 2002.
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  • N. Bruin and E. V. Flynn. "Towers of 2-Covers of Hyperelliptic Curves." Trans. Amer. Math. Soc. 357 (2005), 4329–4347.
  • N. Bruin and E. V. Flynn. "Exhibiting Sha[2] on Hyperelliptic Jacobians. Journal of Number Theory 118 (2006), 266–291.
  • N. Bruin and M. Stoll. Electronic data, available online (http://www.cecm.sfu.ca/~nbruin/ smallgenus2curves/). http://www.cecm.sfu.ca/~nbruin/ smallgenus2curves/
  • N. Bruin and M. Stoll. "2-Cover Descent on Hyperelliptic Curves." ArXiv:0803.2052v1, 2008.
  • N. Bruin and M. Stoll. "Finding Mordell–Weil Generators on Genus-2 Jacobians. In preparation, 2008.

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