André NéronAndré Néron (November 30, 1922, France

France

The French Republic , The French Republic , The French Republic , (commonly known as France , is a unitary semi-presidential republic in Western Europe with several overseas territories and islands located on other continents and in the Indian, Pacific, and Atlantic oceans. Metropolitan France...

 – April 6, 1985, Paris

Paris

Paris is the capital and largest city in France, situated on the river Seine, in northern France, at the heart of the Île-de-France region...

, France) was a French

French people

The French are a nation that share a common French culture and speak the French language as a mother tongue. Historically, the French population are descended from peoples of Celtic, Latin and Germanic origin, and are today a mixture of several ethnic groups...

 mathematician

Mathematician

A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

 at the Université de Poitiers who worked on elliptic curve

Elliptic curve

In mathematics, an elliptic curve is a smooth, projective algebraic curve of genus one, on which there is a specified point O. An elliptic curve is in fact an abelian variety — that is, it has a multiplication defined algebraically with respect to which it is a group — and O serves as the identity...

s and Abelian varieties

Abelian variety

In mathematics, particularly in algebraic geometry, complex analysis and number theory, an abelian variety is a projective algebraic variety that is also an algebraic group, i.e., has a group law that can be defined by regular functions...

. He discovered the Néron minimal model of an elliptic curve or abelian variety, and the Néron–Severi group

Néron–Severi group

In algebraic geometry, the Néron–Severi group of a variety isthe group of divisors modulo algebraic equivalence; in other words it is the group of components of the Picard scheme of a variety. Its rank is called the Picard number...

, and the Néron–Tate height

Néron–Tate height

In number theory, the Néron–Tate height is a quadratic form on the Mordell-Weil group of rational points of an abelian variety defined over a global field...

 of rational points on an Abelian variety, and classified the possible fibers of an elliptic fibration.

Publications

• André Néron, http://www.numdam.org/item?id=BSMF_1952__80__101_0Problèmes arithmétique et géométriques rattachés à la notion de rang d'une courbe algébrique dans un corps, Bulletin de la S.M.F
  Société Mathématique de France
  The Société Mathématique de France is the main professional society of French mathematicians.The society was founded in 1872 by Émile Lemoine and is one of the oldest mathematical societies in existence...
  
  , 80 (1952), p. 101-166]
• André Néron, Modèles minimaux des variétés abéliennes sur les corps locaux et globaux, Publications Mathématiques de l'IHÉS
  Institut des Hautes Études Scientifiques
  The Institut des Hautes Études Scientifiques is a French institute supporting advanced research in mathematics and theoretical physics...
  
  , 21 (1964), p. 5-128