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Fondements de la Géometrie Algébrique (FGA) 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. The title is a translation of the title of André Weil's book Foundations of Algebraic Geometry.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.

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  • Fondements de la Géometrie Algébrique (en)
  • Fondements de la géométrie algébrique (fr)
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  • Fondements de la Géometrie Algébrique (FGA) 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. The title is a translation of the title of André Weil's book Foundations of Algebraic Geometry.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. (en)
  • Les Fondements de la géometrie algébrique ou FGA, est un livre qui rassemble les notes d'Alexander Grothendieck au Séminaire Bourbaki. C'est une importante source pour ce travail pionnier sur la théorie des schémas, qui sert de fondation à la géométrie algébrique dans ses développements techniques modernes. (fr)
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  • Fondements de la Géometrie Algébrique (FGA) 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. The title is a translation of the title of André Weil's book Foundations of Algebraic Geometry.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 IHÉS period, duplicated notes were circulated, but the publication was not as a conventional book. (en)
  • Les Fondements de la géometrie algébrique ou FGA, est un livre qui rassemble les notes d'Alexander Grothendieck au Séminaire Bourbaki. C'est une importante source pour ce travail pionnier sur la théorie des schémas, qui sert de fondation à la géométrie algébrique dans ses développements techniques modernes. Le titre est la traduction du titre du livre d'André Weil Foundations of algebraic geometry.Le livre contient le matériel sur la (en), et sur des théorèmes d'existence comprenant ceux pour les (en). Le volume Technique de descente et théorèmes d'existence en géometrie algébrique est une série de séminaires inclus dans les FGA. (fr)
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