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The content in Chapter 1-3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen-Macaulay rings and depth. In Chapters 4-6 the methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 7-9 are not so standard and introduce the reader to the generalizations of modules to complexes of modules. Some of Professor Iversen's results are given in Chapter 9. Chapter 10 is about Serre's intersection conjecture. The graded case

Local rings. --- Injective modules (Algebra) --- Intersection homology theory. --- Homology theory --- Modules (Algebra) --- Rings, Local --- Commutative rings --- Injective modules (Algebra).

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Algebraic geometry --- 512.71 --- Local rings --- Geometry, Algebraic --- Geometry --- Rings, Local --- Commutative rings --- Commutative rings and algebras. Local theory. Foundations of algebraic geometry --- Geometry, Algebraic. --- Local rings. --- 512.71 Commutative rings and algebras. Local theory. Foundations of algebraic geometry --- Anneaux locaux. --- Algèbre linéaire --- Algebras, Linear --- Groupes, Théorie des --- Group theory --- Groupes, Théorie des --- Algèbre linéaire