Topos Anneles Et Schemas Relatifs [French]

By Monique Hakim

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.

• Format: Hardcover
• Language: French
• ISBN: 3540055738
• ISBN13: 9783540055730
• Release Date: January 1972
• Publisher: Springer
• Length: 162 Pages
• Weight: 0.90 lbs.
• Dimensions: 0.4" x 6.1" x 9.2"