Book contents
- Frontmatter
- Contents
- Preface to the First Edition
- Preface to the Second Edition
- Notation and conventions
- 1 The local cohomology functors
- 2 Torsion modules and ideal transforms
- 3 The Mayer–Vietoris sequence
- 4 Change of rings
- 5 Other approaches
- 6 Fundamental vanishing theorems
- 7 Artinian local cohomology modules
- 8 The Lichtenbaum–Hartshorne Theorem
- 9 The Annihilator and Finiteness Theorems
- 10 Matlis duality
- 11 Local duality
- 12 Canonical modules
- 13 Foundations in the graded case
- 14 Graded versions of basic theorems
- 15 Links with projective varieties
- 16 Castelnuovo regularity
- 17 Hilbert polynomials
- 18 Applications to reductions of ideals
- 19 Connectivity in algebraic varieties
- 20 Links with sheaf cohomology
- References
- Index
4 - Change of rings
Published online by Cambridge University Press: 05 December 2012
Book contents
- Frontmatter
- Contents
- Preface to the First Edition
- Preface to the Second Edition
- Notation and conventions
- 1 The local cohomology functors
- 2 Torsion modules and ideal transforms
- 3 The Mayer–Vietoris sequence
- 4 Change of rings
- 5 Other approaches
- 6 Fundamental vanishing theorems
- 7 Artinian local cohomology modules
- 8 The Lichtenbaum–Hartshorne Theorem
- 9 The Annihilator and Finiteness Theorems
- 10 Matlis duality
- 11 Local duality
- 12 Canonical modules
- 13 Foundations in the graded case
- 14 Graded versions of basic theorems
- 15 Links with projective varieties
- 16 Castelnuovo regularity
- 17 Hilbert polynomials
- 18 Applications to reductions of ideals
- 19 Connectivity in algebraic varieties
- 20 Links with sheaf cohomology
- References
- Index
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Local CohomologyAn Algebraic Introduction with Geometric Applications, pp. 65 - 80Publisher: Cambridge University PressPrint publication year: 2012