Thue equations and the method of Coleman-Chabauty

Details Thue equations and the method of Coleman-Chabauty Thue equations and the method of Coleman-Chabauty

2000-05-18

arxiv.org/abs/math/0005186v1

Mathematics

Number Theory

30 pages

Scientific paper

In this paper, we prove that a Thue equation F(x,y) = h, where h is an integer and F is a polynomial of degree n with integer coefficients and without repeated roots, has at most 2n^3 - 2n - 3 solutions provided that the Mordell-Weil rank of the Jacboian of the corresponding curve is less than (n-1)(n-2)/2. The proof uses the method of Coleman-Chabauty, extended here to apply to arbitrary regular models of curves, along with an explicit construction of a portion of a regular model for the curve corresponding to the Thue equation.

Affiliated with

Also associated with

No associations

Rating

Thue equations and the method of Coleman-Chabauty 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 Thue equations and the method of Coleman-Chabauty, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thue equations and the method of Coleman-Chabauty will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-374547