Topos anneles et schemas relatifs
Hakim, Monique
Produktnummer:
1850dbc4a63c0c4441936d752edff3c74f
| Autor: | Hakim, Monique |
|---|---|
| Themengebiete: | Grothendieck topologies Ring (Math.) Topos ringed space scheme theory |
| Veröffentlichungsdatum: | 01.01.1972 |
| EAN: | 9783540055730 |
| Sprache: | Französisch |
| Seitenzahl: | 162 |
| Produktart: | Gebunden |
| Verlag: | Springer Berlin |
Produktinformationen "Topos anneles et schemas relatifs"
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.
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