Local Cohomology : An Algebraic Introduction with Geometric Applications (Paperback)

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. Local duality; 12. Foundations in the graded case; 13. Graded versions of basic theorems; 14. Links with projective varieties; 15. Castelnuovo regularity; 16. Bounds of diagonal type; 17. Hilbert polynomials; 18. Applications to reductions of ideals; 19. Connectivity in algebraic varieties; 20. Links with sheaf cohomology; Bibliography; Index.