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Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge

Topos anneles et schemas relatifs

Authors: Hakim, Monique

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About this book

From the reviews (Zentrallblatt MATH):
"This monograph is devoted to the problems of modules in scheme theory; the main purpose is to develop relative scheme theory over a ringed space. The exposition contains 8 chapters. Chapters I and II are devoted to the necessary information about 2-categories which simplifies the utilization of toposes. 2-category is a category in which the sets Hom are categories and where maps between Hom's have functorial nature. One studies U-toposes by means of this notion in chapter II, U being a fixed universimum. One introduces the notion of ringed U-toposand studies U-toposes ringed by local and strict local rings in chapter III. In the same chapter one solves the corresponding universal problem and as a result introduces the spectrum of ringed U-topos in chapter IV, what makes it possible to define the category of relative schemes over a ringed topos. In chapter V-VII the theory of relative S-schemes is developed where S is a ringed topos; then this theory applies to studying of the algebraic-analytic equivalence in chapter VIII."

Table of contents (9 chapters)

Table of contents (9 chapters)
  • Introduction

    Pages 1-3

    Hakim, Monique

  • 2-catégories fibrées

    Pages 4-19

    Hakim, Monique

  • U-topos

    Pages 20-35

    Hakim, Monique

  • U-topos annelés. U-topos annelés en anneaux locaux et en anneaux strictement locaux

    Pages 36-57

    Hakim, Monique

  • Spectre d’un U-topos annelé

    Pages 58-84

    Hakim, Monique

Buy this book

eBook 22,99 €
price for Spain (gross)
  • ISBN 978-3-662-59155-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 28,67 €
price for Spain (gross)
  • ISBN 978-3-540-05573-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Topos anneles et schemas relatifs
Authors
Series Title
Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
Series Volume
64
Copyright
1972
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag GmbH Germany, part of Springer Nature
eBook ISBN
978-3-662-59155-0
DOI
10.1007/978-3-662-59155-0
Hardcover ISBN
978-3-540-05573-0
Edition Number
1
Number of Pages
VI, 162
Topics