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Cover: 9783540055730 | Topos anneles et schemas relatifs | Monique Hakim | Buch | vi
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Topos anneles et schemas relatifs
Buch von Monique Hakim
Sprache: Französisch

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Beschreibung
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. A. A. Bel'skii.
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. A. A. Bel'skii.
Details
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
Inhalt: vi
162 S.
ISBN-13: 9783540055730
ISBN-10: 3540055738
Sprache: Französisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Hakim, Monique
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
Maße: 241 x 160 x 16 mm
Von/Mit: Monique Hakim
Gewicht: 0,43 kg
Artikel-ID: 114694655
Details
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
Inhalt: vi
162 S.
ISBN-13: 9783540055730
ISBN-10: 3540055738
Sprache: Französisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Hakim, Monique
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
Maße: 241 x 160 x 16 mm
Von/Mit: Monique Hakim
Gewicht: 0,43 kg
Artikel-ID: 114694655
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