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Éléments de Mathématique

Algèbre commutative

Chapitre 10

Authors: Bourbaki, N.

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About this book

 

Algèbre commutative, Chapitre 10

Profondeur, régularité, dualité

 

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.

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)


Table of contents (1 chapters)

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-540-34395-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.95
price for USA in USD
  • ISBN 978-3-540-34394-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Algèbre commutative
Book Subtitle
Chapitre 10
Authors
Copyright
2007
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-34395-0
DOI
10.1007/978-3-540-34395-0
Softcover ISBN
978-3-540-34394-3
Edition Number
1
Number of Pages
IV, 188
Additional Information
Edition originale publiée par Masson, Paris, 1998
Topics