Alexander Grothendieck's concepts turned out to be astoundingly powerful and productive, truly revolutionizing algebraic geometry. He sketched his new theories in talks given at the Seminaire Bourbaki between 1957 and 1962. He then collected these lectures in a series of articles in Fondements de la geometrie algebrique (commonly known as FGA).
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Graduate students and research mathematicians interested in algebraic geometry.
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Maße
Höhe: 179 mm
Breite: 253 mm
Dicke: 18 mm
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ISBN-13
978-0-8218-4245-4 (9780821842454)
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Schweitzer Klassifikation
Barbara Fantechi, SISSA, Trieste, Italy, Lothar Gottsche, International Centre for Theoretical Physics, Trieste, Italy, Luc Illusie, Universite Paris-Sud, Orsay, France, Steven L. Kleiman, MIT, Cambridge, MA, Nitin Nitsure, Tata Institute of Fundamental Research, Mumbai, India, and Angelo Vistoli, Universita di Bologna, Italy
Grothendieck topologies, fibered categories and descent theory: Introduction Preliminary notions Contravariant functors Fibered categories Stacks Construction of Hilbert and Quot schemes: Construction of Hilbert and Quot schemes Local properties and Hilbert schemes of points: Introduction Elementary deformation theory Hilbert schemes of points Grothendieck's existence theorem in formal geometry with a letter of Jean-Pierre Serre: Grothendieck's existence theorem in formal geometry The Picard scheme: The Picard scheme Bibliography Index.
