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Localization and Sheaves

A Relative Point of View

By: Jara Pascual,Conchi Vidal,A Verschoren

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Localization and Sheaves

A Relative Point of View

By: Jara Pascual,Conchi Vidal,A Verschoren

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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Page Count

260

Publisher

CRC Press

Published Date

ISBN 10

0582273722

ISBN 13

9780582273726

Localization and Sheaves

A Relative Point of View

By: Jara Pascual,Conchi Vidal,A Verschoren

Write a review Read reviews Take a Quiz Solve Book Puzzle

Localization and Sheaves

A Relative Point of View

By: Jara Pascual,Conchi Vidal,A Verschoren

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.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Solve jigsaw puzzle

Age

Page Count

260

Publisher

CRC Press

Published Date

ISBN 10

0582273722

ISBN 13

9780582273726