Michel Raynaud

Michel Raynaud ( born June 16, 1938 in Riom ) is a French mathematician who deals with algebraic geometry.

Raynaud studied from 1958 to the Ecole Normale Superieure and was a student and close colleague of Alexandre Grothendieck, in which he also received his doctorate in 1968 ( Faisceaux amples sur les groupes et les espaces schémas en homogeneous ) in the 1960s. Since 1967 he is professor at the University of Paris-Sud in Orsay. In 1983 he proved the Manin - Mumford conjecture that the Jacobian variety of a curve can have only a finite number of points of finite order (except in the case).

In 1987 he received the Prix Ampere of the Académie des sciences in 1995 and the Cole prize with David Harbater for solving the conjecture of Abhyankar from 1957, which for the special case of ( affine ) Just showed Raynaud. The conjecture asks for the possible Galois groups of a branched at points superposition of a curve over a field of characteristic. Abhyankar conjectured that G iff is a Galois group, if the number of generators of (the generated by all - Sylow subgroups of subgroup of is ) is the same, with the genus of the curve respectively.

Raynaud's is a corresponding member of the French Academy of Sciences since 1994. In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( abélienne Variétés et géométrie rigid ).

He is with the mathematician Michèle Raynaud (* 1938) married, which was also his doctorate under Grothendieck (1972, University of Paris VII, Théorèmes de Lefschetz s cohomology coherente et en cohomology étale ) and Associate in SGA ( Séminaire de géométrie algébrique ) of Grothendieck was.

Writings

  • Amples sur les Faisceaux schémas en groupes et les espaces homogeneous. Springer 1970.
  • Anneaux Locaux Hense Liens. Springer 1970.
  • Siegfried Bosch, Werner Lütkebohmert: Néron models. Springer, results of mathematics and its applications, 1990.
  • Courbes sur une variété abélienne et points de twist, Inventiones Mathematicae, 71, 1983, 207-233
  • Sous- variétés d une variété abélienne et points de twist, in Arithmetic and Geometry ( Shafarevich volume ), Birkhauser 1983
  • Around the Mordell conjecture for function fields and a conjecture of Serge Lang, in Algebraic Geometry, Lecture Notes in Mathematics 1016, Springer Verlag, 1983, 1-19
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