Rational Points on Curves of Genus 2 : Experiments and Speculations

Title data

Stoll, Michael:
Rational Points on Curves of Genus 2 : Experiments and Speculations.
In: Johannes A. Buchmann, John Cremona and Michael E. Pohst (editors): Algorithms and Number Theory. - Wadern , 2009 . - 4 S . - (Dagstuhl Seminar Proceedings ; 09221 )

Official URL:

Abstract in another language

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.

Further data

Item Type:	Article in a book
Refereed:	Yes
Keywords:	rational points; genus 2
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) > Chair Mathematics II (Computer Algebra) - Univ.-Prof. Dr. Michael Stoll Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	21 Jan 2015 14:53
Last Modified:	21 Jan 2015 14:53
URI:	https://eref.uni-bayreuth.de/id/eprint/5765