Local Cohomology and Localization |
Contents
Introduction | 5 |
Classical Theory | 22 |
Localization of Rings and Modules | 39 |
Copyright | |
4 other sections not shown
Common terms and phrases
algebra apply assertions are equivalent associated assume canonical isomorphism closed subset Cohen-Macaulay coherent sheaf cohomology Coker commutative Cousin complex defined denote derived functors dévissage dimension dualizing easily verifies exact sequence finishes the proof finite type finitely generated R-module finitely presented flabby foregoing functor in R-mod Gorenstein Gorenstein ring Grothendieck category hence Homg idempotent kernel functor injective hull injective resolution isomorphism Krull left exact Lemma lim Ext lim Homp local cohomology Math maximal ideal MeR-mod modules Moreover morphism noetherian ring noetherian scheme Nonlinear Note o-closed o-dim o-domdim o-finitely o-torsion o-torsionfree obvious open subset positive integer presheaf prime ideals Proj Proposition Let proves the assertion Q(Aff quasicoherent sheaf R-gr R-module resp result ringed spaces sheaf of Ox-modules sheaves Spec stable submodule Supp Supp。(M surjective Sz(X t-torsion topology torsion theory yields