Several complex variables/
Edited by H. Grauert,K. Fritzsche
- New York: Springer, 1976.
- x,207p. : 24cm.
- Graduate texts in mathematics, 38. .
I Holomorphic Functions -- 1 Power Series -- 2 Complex Differentiable Functions -- 3 The Cauchy Integral -- 4 Identity Theorems -- 5 Expansion in Reinhardt Domains -- 6 Real and Complex Differentiability -- 7 Holomorphic Mappings -- II Domains of Holomorphy -- 1 The Continuity Theorem -- 2 Pseudoconvexity -- 3 Holomorphic Convexity -- 4 The Thullen Theorem -- 5 Holomorphically Convex Domains -- 6 Examples -- 7 Riemann Domains over?n -- 8 Holomorphic Hulls -- III The Weierstrass Preparation Theorem -- 1 The Algebra of Power Series -- 2 The Weierstrass Formula -- 3 Convergent Power Series -- 4 Prime Factorization -- 5 Further Consequences (Hensel Rings, Noetherian Rings) -- 6 Analytic Sets -- IV Sheaf Theory -- 1 Sheaves of Sets -- 2 Sheaves with Algebraic Structure -- 3 Analytic Sheaf Morphisms -- 4 Coherent Sheaves -- V Complex Manifolds -- 1 Complex Ringed Spaces -- 2 Function Theory on Complex Manifolds -- 3 Examples of Complex Manifolds -- 4 Closures of?n -- VI Cohomology Theory -- 1 Flabby Cohomology -- 2 The?ech Cohomology -- 3 Double Complexes -- 4 The Cohomology Sequence -- 5 Main Theorem on Stein Manifolds -- VII Real Methods -- 1 Tangential Vectors -- 2 Differential Forms on Complex Manifolds -- 3 Cauchy Integrals -- 4 Dolbeault's Lemma -- 5 Fine Sheaves (Theorems of Dolbeault and de Rham) --