This popular graduate text has been thoroughly revised and updated to incorporate recent developments in the field.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
M. P. Brodmann is Emeritus Professor in the Institute of Mathematics at the University of Zurich.
Inhaltsangabe
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 Bibliography Index.
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 Bibliography Index.
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