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Catalogue Information
Field name	Details
Dewey Class	514.34
Title	Complex Manifolds and Deformation of Complex Structures ([EBook]) / by Kunihiko Kodaira.
Author	Kodaira, Kunihiko. , 1915-1997
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 1986.
Physical Details	X, 467 pages : online resource.
Series	Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 0072-7830 ; ; 283
ISBN	9781461385905
Contents note	1 Holomorphic Functions -- §1.1. Holomorphic Functions -- §1.2. Holomorphic Map -- 2 Complex Manifolds -- §2.1. Complex Manifolds -- §2.2. Compact Complex Manifolds -- §2.3. Complex Analytic Family -- 3 Differential Forms, Vector Bundles, Sheaves -- §3.1. Differential Forms -- §3.2. Vector Bundles -- §3.3. Sheaves and Cohomology -- §3.4. de Rham’s Theorem and Dolbeault’s Theorem -- §3.5. Harmonic Differential Forms -- §3.6. Complex Line Bundles -- 4 Infinitesimal Deformation -- §4.1. Differentiable Family -- §4.2. Infinitesimal Deformation -- 5 Theorem of Existence -- §5.1. Obstructions -- §5.2. Number of Moduli -- §5.3. Theorem of Existence -- 6 Theorem of Completeness -- §6.1. Theorem of Completeness -- §6.2. Number of Moduli -- §6.3. Later Developments -- 7 Theorem of Stability -- §7.1. Differentiable Family of Strongly Elliptic Differential Operators -- §7.2. Differentiable Family of Compact Complex Manifolds -- Appendix Elliptic Partial Differential Operators on a Manifold -- §1. Distributions on a Torus -- §2. Elliptic Partial Differential Operators on a Torus -- §3. Function Space of Sections of a Vector Bundle -- §4. Elliptic Linear Partial Differential Operators -- §5. The Existence of Weak Solutions of a Strongly Elliptic Partial Differential Equation -- §6. Regularity of Weak Solutions of Elliptic Linear Partial Differential Equations.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4613-8590-5
Links to Related Works	Subject References: Complex manifolds . Manifolds and Cell Complexes (incl. Diff.Topology) . Manifolds (Mathematics) . Mathematics . Authors: Kodaira, Kunihiko. 1915-1997 . Kodaira, Kunihiko, 1915-1997. . Corporate Authors: SpringerLink (Online service) . Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics . Classification: 514.34 .

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Complex Manifolds and Deformation of Complex Structures

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