Twenty-Four Hours of Local Cohomology
2007; American Mathematical Society; Linguagem: Inglês
10.1090/gsm/087
ISSN2376-9203
AutoresSrikanth B. Iyengar, Graham Leuschke, Anton Leykin, Claudia S. Miller, Ezra Miller, Anurag Singh, Uli Walther,
Tópico(s)Algebraic structures and combinatorial models
ResumoBasic notions Cohomology Resolutions and derived functors Limits Gradings, filtrations, and Grobner bases Complexes from a sequence of ring elements Local cohomology Auslander-Buchsbaum formula and global dimension Depth and cohomological dimension Cohen-Macaulay rings Gorenstein rings Connections with sheaf cohomology Projective varieties The Hartshorne-Lichtenbaum vanishing theorem Connectedness Polyhedral applications $D$-modules Local duality revisited De Rham cohomology Local cohomology over semigroup rings The Frobenius endomorphism Curious examples Algorithmic aspects of local cohomology Holonomic rank and hypergeometric systems Injective moduels and Matlis duality Bibliography Index.
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