Néron attended the École normal supérieure from 1943 and received his doctorate in 1951 in Paris with Albert Châtelet (Problèmes arithmétique et géométriques rattachés à la notion de rang d´une courbe algébrique dans un corps). In 1959/60 he was at the Institute for Advanced Study and in 1962 he gave lectures at the Grothendieck seminar in Paris on his Néron model. Later he was a professor at the University of Paris-South ( Université Paris XI ) in Orsay and at the University of Poitiers . He died of cancer.
Néron is known for his “Néron model” (minimal model), named after him, of an elliptic curve or Abelian variety (the generalization of elliptic curves) over a local body K. The Néron-Tate height of rational points of Abelian varieties and the Néron-Severi group are named after him.
In 1954 he was invited speaker at the International Congress of Mathematicians (ICM) in Amsterdam ( Valeur asymptotique du nombre des points de hauteur bornée sur une courbe elliptique ) and at the 1966 in Moscow ( Degré d'intersection en géométrie diophantienne ). In 1983 he received the Émile Picard Medal of the Académie des Sciences , in 1966 the Prix Poncelet and in 1970 the Prix Servant .
The number theorist Jean-Louis Colliot-Thélène is one of his doctoral students . He only had one other PhD student, Gérard Ligozat.
- André Néron, Problèmes arithmétique et géométriques rattachés à la notion de rang d'une courbe algébrique dans un corps , Bulletin de la SMF , Vol. 80, 1952, pp. 101-166.
- André Néron Modèles minimaux des variétés abéliennes sur les corps locaux et globaux , Publications Mathématiques de l ' IHÉS , Vol. 21, 1964, pp. 5–128.
- Neron models are discussed in detail in Michel Raynaud , Siegfried Bosch , Werner Lütkebohmert : Néron Models , Springer, Results of Mathematics and their Frontier Areas, 1990, and treated as an introduction in Joseph Silverman Advanced Topics in the Arithmetic of Elliptic Curves , Springer 1994, 1999.
- Burgundy region
- Association des anciens amicale eleves de l'ENS
- Date of doctorate , which means the date of entry at ENS
- After that, like everyone born between 1920 and 1922, he was actually obliged to do so-called voluntary labor service in Germany ( Service du travail obligatoire , STO), but some escaped by going into hiding.
- Jacob Murre, Memories of Grothendieck, Nieuw Archiev voor Wiskunde, March 2016
- Colliot-Thélène in Mathoverflow, see below
- Mathoverflow 2010 with information from Colliot-Thélène
|BRIEF DESCRIPTION||French mathematician|
|DATE OF BIRTH||November 30, 1922|
|PLACE OF BIRTH||La Clayette , Saône-et-Loire department|
|DATE OF DEATH||April 6, 1985|
|Place of death||Paris|