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Duality on Stein manifolds
Dimension and depth of a coherent analytic sheaf
10 other sections not shown
A-module abelian groups analytic set applying arbitrary assume bijective canonical morphism closed analytic subset closed immersion closed subset Coh(A coherent analytic sheaf coherent sheaf cohomology groups coincides commutative diagram complex manifold complex space conclusion follows connected components consider Corollary countable deduce defined Denote dimension easily element exact sequence exists a neighbourhood exists an integer finite morphism finite number finite rank finite type flabby flat FS spaces hence ideal-sheaf injective resolution integer integer q invariants irreducible lemma Let f locally free maximal ideal module of finite Moreover morphism of complex noetherian local ring noetherian ring numerical space obtains open set open subset prime ideals prof projective Proof proper morphism Proposition quasi-isomorphism relatively compact Stein respect restriction map result ringed space sheaves Spec spectral sequences Stein compact Stein open set Stein open subset Stein semianalytic compact Stein space subspace Supp Suppose surjective theorem 4.1 topological dual topology