Welcome to MathOverflow

Question

0

What is Mordell-Weil lattice?

flag	asked Jun 25 2010 at 11:09 Jun Lu 321●4

4

It is Mordell-Weil group equipped with Néron-Tate pairing (see Silverman's book for the definition of these objects). – François Brunault Jun 25 2010 at 11:26

1

I have voted to close: FB's comment is the correct answer. No need for others to get involved. – Pete L. Clark Jun 25 2010 at 20:12

2

Almost correct: it's the quotient of the MW group by the torsion group, equipped with the Néron-Tate pairing. – Noam D. Elkies Apr 27 2012 at 18:53

Hm, even that's not quite right for a constant curve with non-torsion points... So form the quotient by the subgroup of points of height zero (which contains the torsion group). – Noam D. Elkies Apr 28 2012 at 2:54

喻yuwei · Answer 1 · 2012-04-27 16:15:46Z UTC

1

[T Shioda ：Mordell-Weil lattice][1]

[1]: http://www.rkmath.rikkyo.ac.jp/math/shioda/papers/mwl.pdf more Basic，you also see the homepage of Chao Li about Elliptic Surfaces and Mordell-Weil Lattices in harvard university。

edited Apr 27 2012 at 16:15

answered Apr 27 2012 at 16:09

喻yuwei
75●1●4

What is Mordell-Weil lattice?

Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)

1 Answer

You can accept an answer to one of your own questions by clicking the check mark next to it. This awards 15 reputation points to the person who answered and 2 reputation points to you.