François Châtelet (mathematician)

François Châtelet (born September 11, 1912 , † April 19, 1987 ) was a French mathematician who dealt with Diophantine geometry , the intersection of number theory and algebraic geometry .

He was the son of the number theorist Albert Châtelet . He received his doctorate in 1944 at the Faculté des Sciences in Paris ( Variations sur un thème de Poincaré , Annales École Normale Supérieure, Volume 61, 1944, pp. 249-300) and was since 1949 a professor at the University of Besançon .

Châtelet dealt with Diophantine geometry, in particular the arithmetic of Severi-Brauer varieties (higher-dimensional generalizations of conic sections ), which he treated in his dissertation, of elliptical curves and cubic surfaces. The Weil – Châtelet group in the theory of Abelian varieties (especially elliptic curves) is named after him and André Weil (by John T. Tate 1958) . Châtelet examined them in 1946 in the special case of elliptic curves and Weil in more general Abelian varieties (1955).

Châtelet has been one of the editors of L'Enseignement Mathématique since 1960.

He should not be confused with the philosopher of the same name François Châtelet (1925–1985).

literature

• Jean-Louis Colliot-Thélène Les grands thèmes de François Châtelet , L'Enseignement Mathématique. Series 2, Vol. 34, 1988, pp. 387-405

Individual evidence

1. ^ Date of birth according to Turkevich, Turkevich Prominent Scientists of Central Europe , 1968
2. ↑ Date of death according to Colliot-Thélène, see literature
3. ↑ Chatelet, Thesis, Online ( Memento of the original from September 5, 2012 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice.  
4. ↑ Châtelet "Méthode galoisienne et courbes de genre un", Annales de L'Université de Lyon, Sect. A., Volume 9, 1946, pp. 40-49