Two-cover descent on hyperelliptic curves

Details Two-cover descent on hyperelliptic curves Two-cover descent on hyperelliptic curves

2008-03-13

arxiv.org/abs/0803.2052v2

Math. Comp. 78 (2009), 2347-2370.

Mathematics

Number Theory

19 pages, 1 figure

Scientific paper

10.1090/S0025-5718-09-02255-8

We describe an algorithm that determines a set of unramified covers of a given hyperelliptic curve, with the property that any rational point will lift to one of the covers. In particular, if the algorithm returns an empty set, then the hyperelliptic curve has no rational points. This provides a relatively efficiently tested criterion for solvability of hyperelliptic curves. We also discuss applications of this algorithm to curves of genus 1 and to curves with rational points.

Affiliated with

Also associated with

No associations

Rating

Two-cover descent on hyperelliptic curves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Two-cover descent on hyperelliptic curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-cover descent on hyperelliptic curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-246190