Title:
Fundamental algebraic geometry : Grothendieck's FGA explained
Series:
Mathematical surveys and monographs, 123
Publication Information:
Providence, R.I. : American Mathematical Society, 2005
Physical Description:
x, 339 p. ; 26 cm.
ISBN:
9780821842454
Added Author:
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010163509 | QA564 F86 2005 | Open Access Book | Book | Searching... |
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Summary
Summary
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).
Table of Contents
| 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 |
