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.

Product details

• Authors: Monique Hakim
• Publisher: Springer, Berlin
• Languages: French
• Product format: Hardback
• Released: 01.01.1972
• EAN: 9783540055730
• ISBN: 978-3-540-05573-0
• No. of pages: 162
• Dimensions: 157 mm x 243 mm x 16 mm
• Weight: 373 g
• Illustrations: VI, 162 p.
• Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge; Ergebnisse der Mathematik und ihrer Grenzgebiete, 2. Folge
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Geometry