André Néron (November 30, 1922, La Clayette,

France France (), officially the French Republic ( ), is a country primarily located in Western Europe. It also comprises of overseas regions and territories in the Americas and the Atlantic, Pacific and Indian Oceans. Its metropolitan ar ...

– April 6, 1985,

Paris Paris () is the capital and most populous city of France, with an estimated population of 2,165,423 residents in 2019 in an area of more than 105 km² (41 sq mi), making it the 30th most densely populated city in the world in 2020. ...

, France) was a

French French (french: français(e), link=no) may refer to: * Something of, from, or related to France ** French language, which originated in France, and its various dialects and accents ** French people, a nation and ethnic group identified with Franc ...

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

at the Université de Poitiers who worked on elliptic curves and

abelian varieties In mathematics, particularly in algebraic geometry, complex analysis and algebraic 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 func ...

. He discovered the

Néron minimal model Neron or Néron may refer to: * Neron (DC Comics), a fictional character in the DC Comics' universe. * An alternative name of the Roman Emperor Nero * André Néron, a mathematician, who introduced: ** Néron minimal model ** Néron differenti ...

of an elliptic curve or abelian variety, the Néron differential, the

Néron–Severi group In algebraic geometry, the Néron–Severi group of a variety is the 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. It is nam ...

, the Néron–Ogg–Shafarevich criterion, the

local height Local may refer to: Geography and transportation * Local (train), a train serving local traffic demand * Local, Missouri, a community in the United States * Local government, a form of public administration, usually the lowest tier of administrat ...

and Néron–Tate height of rational points on an abelian variety over a

discrete valuation ring In abstract algebra, a discrete valuation ring (DVR) is a principal ideal domain (PID) with exactly one non-zero maximal ideal. This means a DVR is an integral domain ''R'' which satisfies any one of the following equivalent conditions: # ''R' ...

Dedekind domain In abstract algebra, a Dedekind domain or Dedekind ring, named after Richard Dedekind, is an integral domain in which every nonzero proper ideal factors into a product of prime ideals. It can be shown that such a factorization is then necessari ...

, and classified the possible fibers of an elliptic fibration.

Life and career

He was a student of Albert Châtelet, and his PhD students were Jean-Louis Colliot-Thélène and Gérard Ligozat. He gave invited talks at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

in 1954 and 1966 . In 1983 the

Académie des sciences The French Academy of Sciences (French: ''Académie des sciences'') is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French scientific research. It was at the ...

awarded him the Émile Picard Medal. He died of cancer in 1985.

Publications

* * * *

References

* *

External links

Neron on mathoverflow
1922 births 1985 deaths École Normale Supérieure alumni Academic staff of the University of Poitiers 20th-century French mathematicians Algebraic geometers Number theorists Deaths from cancer in France People from Saône-et-Loire {{france-mathematician-stub