释义 |
- Life and career
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- References
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{{Infobox scientist | image = | caption = | name = André Néron | birth_date = {{Birth date|1922|11|30|df=y}} | death_date = {{Death date and age|1985|04|06|1922|11|30|df=y}} | birth_place = La Clayette, France | death_place = Paris, France | nationality = French | field = Mathematics | work_institutions = Université de Poitiers | alma_mater = | doctoral_advisor = Albert Châtelet | doctoral_students = Jean-Louis Colliot-Thélène | known_for = | prizes = | religion = | footnotes = }}André Néron (November 30, 1922, La Clayette, France – April 6, 1985, Paris, France) was a French mathematician at the Université de Poitiers who worked on elliptic curves and abelian varieties. He discovered the Néron minimal model of an elliptic curve or abelian variety, the Néron differential, the Néron–Severi group, the Néron–Ogg–Shafarevich criterion, the local height and Néron–Tate height of rational points on an abelian variety over a discrete valuation ring or Dedekind domain, and classified the possible fibers of an elliptic fibration. Life and careerHe was a student of Albert Châtelet, and his PhD students were Jean-Louis Colliot-Thélène and Gérard Ligozat.[1] He gave invited talks at the International Congress of Mathematicians in 1954 and 1966 {{harvs|last=Néron|year1=1956|year2=1968}}. In 1983 the Académie des sciences awarded him the Émile Picard Medal. He died of cancer in 1985. Publications- {{Citation | last1=Néron | first1=André | author1-link=André Néron | title=Problèmes arithmétiques et géométriques rattachés à la notion de rang d'une courbe algébrique dans un corps | url=http://www.numdam.org/item?id=BSMF_1952__80__101_0 | mr=0056951 | year=1952 | journal=Bulletin de la Société Mathématique de France | issn=0037-9484 | volume=80 | pages=101–166}}
- {{Citation | last1=Néron | first1=André | author1-link=André Néron | title=Proceedings of the International Congress of Mathematicians, 1954, Amsterdam, vol. III | url=http://mathunion.org/ICM/ICM1954.3/ | publisher=Erven P. Noordhoff N.V., Groningen | mr=0087210 | year=1956 | chapter=Propriétés arithmétiques de certaines familles de courbes algébriques | pages=481–488}}
- {{Citation | last1=Néron | first1=André | author1-link=André Néron | title=Modèles minimaux des variétés abéliennes sur les corps locaux et globaux | url=http://www.numdam.org/item?id=PMIHES_1964__21__5_0 | mr=0179172 |doi=10.1007/BF02684271 | year=1964 | journal=Publications Mathématiques de l'IHÉS | issn=1618-1913 | volume=21 | pages=5–128}}
- {{Citation | last1=Néron | first1=André | author1-link=André Néron | title=Proceedings of International Congress of Mathematicians (Moscow, 1966) | url=http://mathunion.org/ICM/ICM1966.1/ | publisher=Izdat. Mir, Moscow | mr=0240097 | year=1968 | chapter=Degré d'intersection en géométrie diophantienne | pages=485–495}}
References1. ^{{MathGenealogy|id=69767}}
- {{MathGenealogy|id=69767}}
- {{Citation | last1=Bosch | first1=Siegfried | last2=Lütkebohmert | first2=Werner | last3=Raynaud | first3=Michel | author3-link= Michel Raynaud | title=Néron models | publisher=Springer-Verlag | location=Berlin, New York | series=Ergebnisse der Mathematik und ihrer Grenzgebiete (3)| isbn=978-3-540-50587-7 | mr=1045822 | year=1990 | volume=21}}
- {{citation|url=https://books.google.com/books?id=4AK7AAAAIAAJ&q=%22Andr%C3%A9+N%C3%A9ron%22+%2B1922&dq=%22Andr%C3%A9+N%C3%A9ron%22+%2B1922&cd=3 | title=Association amicale des anciens élèves de l'École normale supérieure
|publisher= l'École normale supérieure|year= 1986|page=117}}External links{{Authority control}}{{DEFAULTSORT:Neron, Andre}}{{france-mathematician-stub}} 9 : 1922 births|1985 deaths|École Normale Supérieure alumni|French mathematicians|University of Poitiers faculty|20th-century mathematicians|Algebraic geometers|Number theorists|Deaths from cancer in France |