Brodmann, M.P., Sharp, R.Y. 　著

内容

目次

Preface; 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. Localduality; 12. Foundations in the graded case; 13. Graded versions of basictheorems; 14. Links with projective varieties; 15. Castelnuovo regularity;16. Bounds of diagonal type; 17. Hilbert polynomials; 18. Applications toreductions of ideals; 19. Connectivity in algebraic varieties; 20. Links withsheaf cohomology; Bibliography; Index.