Localization and Sheaves: A Relative Point of View

1st Edition

Jara Pascual, Conchi Vidal, A Verschoren

Chapman and Hall/CRC
Published November 30, 1995
Reference - 256 Pages
ISBN 9780582273726 - CAT# LM7372
Series: Chapman & Hall/CRC Research Notes in Mathematics Series

For Instructors Request Inspection Copy

was $185.00

USD$148.00

SAVE ~$37.00

Currently out of stock
Add to Wish List
FREE Standard Shipping!

Summary

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.

Instructors

We provide complimentary e-inspection copies of primary textbooks to instructors considering our books for course adoption.

Request an
e-inspection copy

Share this Title