Introduction to Holomorphic Functions of Several Variables Vol. III : Homological TheoryTaylor & Francis, 2 août 1990 - 216 pages |
Table des matières
Section 1 | 1 |
Section 2 | 12 |
Section 3 | 23 |
Droits d'auteur | |
11 autres sections non affichées
Expressions et termes fréquents
abelian groups algebraic branched holomorphic covering Cartan's Cartier divisor characterization of Stein cochain complex coherent holomorphic sheaf cohomology groups cohomology modules compact subset conclude the proof consequence converge convex Corollary defined definition dimension domain of holomorphy element f₁ filtration finite branched holomorphic follows from Theorem function f H¹(V hence holo holomorphic functions holomorphic mapping holomorphic polyhedron holomorphic sheaf holomorphic subvariety hypothesis induced homomorphism irreducible component isomorphism kernel Lemma locally finitely mapping F meromorphic function module homomorphisms morphic morphism n-dimensional Oka-Weil domain open neighborhood open polydisc open subset polydisc polynomial preceding theorem presheaf proof is thereby proper holomorphic mapping properties R-modules restriction rings S₁ sequence of sheaves sheaf cohomology sheaf homomorphism sheaf of ideals sheaf of R-modules short exact sequence spectral sequence stalk Stein variety subsheaf surjective thereby concluded topological space trivial U₁ U₂ V₁ variable z₁ zero