Local Cohomology: An Algebraic Introduction with Geometric Applications Book

	Preface
	Notation and conventions
1	The local cohomology functors	1
2	Torsion modules and ideal transforms	17
3	The Mayer-Vietoris Sequence	47
4	Change of rings	66
5	Other approaches	82
6	Fundamental vanishing theorems	102
7	Artinian local cohomology modules	123
8	The Lichtenbaum-Hartshorne Theorem	136
9	The Annihilator and Finiteness Theorems	152
10	Matlis duality	179
11	Local duality	197
12	Foundations in the graded case	216
13	Graded versions of basic theorems	237
14	Links with projective varieties	265
15	Castelnuovo regularity	277
16	Bounds of diagonal type	294
17	Hilbert polynomials	312
18	Applications to reductions of ideals	325
19	Connectivity in algebraic varieties	342
20	Links with sheaf cohomology	374
	Bibliography	407
	Index	410