Algèbre commutative: Chapitre 10

by N. Bourbaki

Overview

Les Éléments de mathématique de Nicolas Bourbaki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements.

Ce volume du Livre d’Algèbre commutative, septième Livre du traité, est la continuation des chapitres antérieurs. Il introduit notamment les notions de profondeur et de lissité, fondamentales en géometrie algébrique. Il se termine par l’introduction des modules dualisants et de la dualité de Grothendieck.

Ce volume est paru en 1998.

Product Details

ISBN-13:	9783540343943
Publisher:	Springer Berlin Heidelberg
Publication date:	12/11/2006
Edition description:	Réimpression inchangeé de l'édition de 1998
Pages:	188
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)
Language:	French

Table of Contents

Profondeur, régularité, dualité.

Editorial Reviews

From the reviews:

"The book under review is the faithful and unabridged reprint of the French original of Chapter 10 of N. Bourbaki’s ‘Commutative Algebra’ … . a highly important and valuable source book for seasoned mathematicians working in the fields of commutative algebra and algebraic geometry … ." (Werner Kleinert, Zentralblatt MATH, Vol. 1107 (9), 2007)

"The book provides the basic theory and interesting examples, and further developments are proposed as exercises. With only 187 pages, exercises included, it gives a fairly good account of the current state of knowledge of … part of commutative algebra which is so important in algebraic geometry. … also systematically explores the behaviour of the notions considered under some base change. It is thus a useful reference. … is divided into ten sections." (Anne-Marie Simon, Mathematical Reviews, Issue 2008 h)

From the Publisher