Mordell-Weil Problem for Cubic Surfaces, Numerical Evidence

Details Mordell-Weil Problem for Cubic Surfaces, Numerical Evidence Mordell-Weil Problem for Cubic Surfaces, Numerical Evidence

2008-02-06

arxiv.org/abs/0802.0742v1

Mathematics

Algebraic Geometry

22 pages, 3 figures

Scientific paper

Let V be a plane smooth cubic curve over a finitely generated field k. The Mordell-Weil theorem for V states that there is a finite subset P \subset V(k) such that the whole V(k) can be obtained from P by drawing secants and tangents through pairs of previously constructed points and consecutively adding their new intersection points with V. In this paper we present numerical data regarding the analogous statement for cubic surfaces. For the surfaces examined, we also test Manin's conjecture relating the asymptotics of rational points of bounded height on a Fano variety with the rank of the Picard group of the surface.

Affiliated with

Also associated with

No associations

Rating

Mordell-Weil Problem for Cubic Surfaces, Numerical Evidence 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 Mordell-Weil Problem for Cubic Surfaces, Numerical Evidence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mordell-Weil Problem for Cubic Surfaces, Numerical Evidence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-559599