Néron differential [SEP] named after
Néron differential
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
the Néron differential is
Nevanlinna invariant
In mathematics, the Nevanlinna invariant of an ample divisor "D" on a normal projective variety "X" is a real number connected with the rate of growth of the number of rational points on the variety with respect to the embedding defined by the divisor. The concept is named after Rolf Nevanlinna.
Formal definition.
Formally, α("D") is the infimum of the rational numbers "r" such that formula_1 is in the closed real cone of effective divisors in the Néron–Severi group of