Harman Patil (Editor)

Néron differential

Updated on
Edit
Like
Comment
Share on FacebookTweet on TwitterShare on LinkedInShare on Reddit

In mathematics, a Néron differential, named after André Néron, is an almost canonical choice of 1-form on an elliptic curve or abelian variety defined over a local field or global field. The Néron differential behaves well on the Néron minimal models.

For an elliptic curve of the form

y 2 + a 1 x y + a 3 = x 3 + a 2 x 2 + a 4 x + a 6

the Néron differential is

d x 2 y + a 1 x + a 3

References

Néron differential Wikipedia
(Text) CC BY-SA