André Néron
André Néron (born November 30, 1922 in La Clayette , Département Saône-et-Loire , † April 6, 1985 in Paris ) was a French mathematician who dealt with algebraic geometry and number theory.
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.
literature
- 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.
Web links
- William A. Stein : What are Néron models? , 2003 (PDF)
Individual evidence
- ^ 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
| personal data | |
|---|---|
| SURNAME | Néron, André |
| 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 |