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Localization and Sheaves by P. Jara & Alain Verschoren
A Relative Point of View
This text aims to solve the problem of representing rings (and modules over them) which are locally noetherian over subsets of their prime spectrum by structure sheaves over this subset.This book completely solves the problem of representing rings (and modules over them), which are locally noetherian over subsets of their prime spectrum by structure sheaves over this subset. In order to realise this, one has to develop the necessary localization theory as well as to study local equivalents of familiar concepts like the Artin-Rees property, Ore sets and the second layer condition. The first part of the book is introductory and self-contained, and might serve as a starting course (at graduate level) on localization theory within Grothendieck categories. The second part is more specialised and provides the basic machinery needed to effectively these structure sheaves, as well as to study their functorial behaviour. In this way, the book should be viewed as a first introduction to what should be called relative noncommutative algebraic geometry. |
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| Author(s) : | Format : Hardback Book |
| ISBN-10 : 0582273722 | ISBN-13 : 9780582273726 |
| RRP : £68.99 | Best available price : £ / $ |
| Prices as of : BST check live prices | |
Product Details:
Series Title : Pitman Research Notes in Mathematics
Country Publication : United Kingdom
Publication Date : 30/11/1995
Publisher : Taylor & Francis Ltd
Page Length : 256mm
Page Size : 244mm