Sections on certain j=0 elliptic surfaces

Details Sections on certain j=0 elliptic surfaces Sections on certain j=0 elliptic surfaces

1999-11-30

arxiv.org/abs/math/9911274v1

Mathematics

Number Theory

Scientific paper

Using some theory of (rational) elliptic surfaces plus elementary properties of a Mordell-Weil group regarded as module over the endomorphism ring of a (CM) elliptic curve, we present examples of such surfaces with j-invariant zero. In particular, a K3 example is given with the maximal possible rank 18, plus that many explicit independent sections on it. Several other high rank cases are discussed; for instance Shioda's example with rank 68.

Affiliated with

Also associated with

No associations

Rating

Sections on certain j=0 elliptic surfaces 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 Sections on certain j=0 elliptic surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sections on certain j=0 elliptic surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-295544