Fundamental Algebraic Geometry: Grothendieck's FGA Explained by Barbara Fantechl

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Book Title
Fundamental Algebraic Geometry: Grothendieck's FGA Explained
Publication Date
2006-10-30
ISBN
9780821842454
Kategorie

Über dieses Produkt

Product Identifiers

Publisher
American Mathematical Society
ISBN-10
0821842455
ISBN-13
9780821842454
eBay Product ID (ePID)
57204906

Product Key Features

Number of Pages
340 Pages
Publication Name
Fundamental Algebraic Geometry : Grothendieck's Fga Explained
Language
English
Subject
Geometry / Algebraic
Publication Year
2006
Type
Textbook
Subject Area
Mathematics
Author
Luc Illusie, Lothar Göttsche, Barbara Fantechl, Nitin Nitsure, Steven L. Kleiman
Series
Mathematical Surveys and Monographs
Format
Trade Paperback

Dimensions

Item Height
0.6 in
Item Weight
22.3 Oz
Item Length
9.8 in
Item Width
5.9 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2005-053614
Dewey Edition
22
Reviews
It's typical of M's scholarship that everyone interested in this area will have to rethink completely after reading English in the Middle Ages., this is a ground-breaking book ... all who read it will find much in it to increase their understanding of Middle English., I recommend this book to anyone interested in the history of English. The historical background to Henry III's letters in particular seems to have been painstakingly researched and the discussion makes for absorbing reading for the specialist and layman alike., This is an important book that breaks new ground ... rich in detail and convincing in its arguments., '... a fascinating book....an eloquent and extended reminder that there are other ways to look at the medieval writing we prize than the ways we have grown accustomed to.'
Series Volume Number
123
Illustrated
Yes
Dewey Decimal
516.3/5
Table Of Content
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.
Synopsis
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)., Presents an outline of Alexander Grothendieck's theories. This book discusses four main themes - descent theory, Hilbert and Quot schemes, the formal existence theorem, and the Picard scheme. It is suitable for those working in algebraic geometry., 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). Much of FGA is now common knowledge. However, some of it is less well known, and only a few geometers are familiar with its full scope. Thegoal of the current book, which resulted from the 2003 Advanced School in Basic Algebraic Geometry (Trieste, Italy), is to fill in the gaps in Grothendieck's very condensed outline of his theories. The four main themes discussed in the book are descent theory, Hilbert and Quot schemes, the formalexistence theorem, and the Picard scheme. The authors present complete proofs of the main results, using newer ideas to promote understanding whenever necessary, and drawing connections to later developments. With the main prerequisite being a thorough acquaintance with basic scheme theory, this book is a valuable resource for anyone working in algebraic geometry.
LC Classification Number
QA564.F86 2005

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