Twenty-Four Hours of Local Cohomology

摘要: Basic notions Cohomology Resolutions and derived functors Limits Gradings, filtrations, Grobner bases Complexes from a sequence of ring elements Local cohomology Auslander-Buchsbaum formula global dimension Depth cohomological Cohen-Macaulay rings Gorenstein Connections with sheaf Projective varieties The Hartshorne-Lichtenbaum vanishing theorem Connectedness Polyhedral applications $D$-modules duality revisited De Rham over semigroup Frobenius endomorphism Curious examples Algorithmic aspects local Holonomic rank hypergeometric systems Injective moduels Matlis Bibliography Index.