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Complex Manifolds and Deformation of Complex Structures

Complex Manifolds and Deformation of Complex Structures
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
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