Local Cohomology : An Algebraic Introduction with Geometric Applications
ISBN: 9780521513630 | 0521513634
Edition: 2ndFormat: Hardcover
Publisher: Cambridge University Press
Pub. Date: 1/7/2013
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On its original publication, this algebraic introduction to Grothendieck's local cohomology theory was the first book devoted solely to the topic and it has since become the standard reference for graduate students. This second edition has been thoroughly revised and updated to incorporate recent developments in the field.
This popular graduate text has been thoroughly revised and updated to incorporate recent developments in the field.
This second edition of a successful graduate text... MORE
This popular graduate text has been thoroughly revised and updated to incorporate recent developments in the field.
This second edition of a successful graduate text... MORE
| Preface to the First Edition | |
| Preface to the Second Edition | |
| Notation and conventions | |
| The local cohomology functors | |
| Torsion modules and ideal transforms | |
| The Mayer-Vietoris sequence | |
| Change of rings | |
| Other approaches | |
| Fundamental vanishing theorems | |
| Artinian local cohomology modules | |
| ... MORE | |
| The Annihilator and Finiteness Theorems | |
| Matlis duality | |
| Local duality | |
| Canonical modules | |
| Foundations in the graded case | |
| Graded versions of basic theorems | |
| Links with projective varieties | |
| Castelnuovo regularity | |
| Hilbert polynomials | |
| Applications to reductions of ideals | |
| Connectivity in algebraic varieties | |
| Links with sheaf cohomology | |
| Bibliography | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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