Fondements de la Géometrie Algébrique
From Wikipedia, the free encyclopedia
FGA, or Fondements de la Géometrie Algébrique, is a book that collected together seminar notes of Alexander Grothendieck. It is an important source for his pioneering work on scheme theory, which laid foundations for algebraic geometry in its modern technical developments. It contained material on descent theory, and existence theorems including that for the Hilbert scheme. The Technique de descente et théorèmes d'existence en géometrie algébrique is one series of seminars within FGA.
Like the bulk of Grothendieck's work of the IHES period, duplicated notes were circulated, but the publication was not as a conventional book.
Contents |
[edit] Contents
These are Séminaire Bourbaki notes, by number, from the years 1957 to 1962.
- 149, Théorème de dualité pour les faisceaux algébriques cohérents (coherent duality)
- 182, Géometrie formelle et géometrie algébrique (formal geometry)
- 190, 195, 212, 221, 232, 236, Technique de descente et théorèmes d'existence en géometrie algébrique.
[edit] References
- Grothendieck, A.: Fondéments de la Géometrie Algébrique, Seminaire Bourbaki 1957–62, Secretariat Mathematique, Paris, 1962
- Fundamental Algebraic Geometry: Grothendieck's FGA Explained (2006) Barbara Fantechi, Lothar Gottsche, Luc Illusie, Steven L. Kleiman, Nitin Nitsure, and Angelo Vistoli
