Alphabeta MathFinite-dimensional coherent cohomology on compact projective space
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2 · Logical flowchart
3 · Items
Definition
Fréchet spaces used in analytic coherent cohomology
Definition
Presentation and Čech quotient topologies for coherent analytic sections
Lemma
Baire category theorem for complete metric spaces
Lemma
Open mapping theorem for Fréchet spaces
Lemma
Schwartz compact-perturbation theorem for Fréchet spaces
Lemma
Compact maps surjective on cohomology give finite Hausdorff target cohomology
Lemma
Scalar holomorphic sheaf acyclicity on pseudoconvex domains
Lemma
Coherent sheaves are acyclic on pseudoconvex intersections with local resolutions
Lemma
Coherent-section quotient topologies are Fréchet and presentation-independent
Lemma
Restriction of coherent sections to a relatively compact open set is compact
Lemma
Laurent decomposition of holomorphic functions on the punctured plane
Theorem