Néron differential

Template:Short description 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

$y^2+a_{1}xy+a_{3}y=x^3+a_2{x}^2+a_{4}x+a_6$

the Néron differential is

$\frac{dx}{2y+a_{1}x+a_3}$

References

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