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MARC 21

Complex Manifolds and Deformation of Complex Structures
Tag Description
020$a9781461385905
082$a514.34
099$aOnline resource: Springer
100$aKodaira, Kunihiko$d1915-1997.
245$aComplex Manifolds and Deformation of Complex Structures$h[EBook]$cby Kunihiko Kodaira.
260$aNew York, NY$bSpringer$c1986.
300$aX, 467 pages$bonline resource.
336$atext
338$aonline resource
440$aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,$x0072-7830 ;$v283
505$a1 Holomorphic Functions -- §1.1. Holomorphic Functions -- §1.2. Holomorphic Map -- 2 Complex Manifolds -- §2.1. Complex Manifolds -- §2.2. Compact Complex Manifolds -- §2.3. Complex Analytic Family -- 3 Differential Forms, Vector Bundles, Sheaves -- §3.1. Differential Forms -- §3.2. Vector Bundles -- §3.3. Sheaves and Cohomology -- §3.4. de Rham’s Theorem and Dolbeault’s Theorem -- §3.5. Harmonic Differential Forms -- §3.6. Complex Line Bundles -- 4 Infinitesimal Deformation -- §4.1. Differentiable Family -- §4.2. Infinitesimal Deformation -- 5 Theorem of Existence -- §5.1. Obstructions -- §5.2. Number of Moduli -- §5.3. Theorem of Existence -- 6 Theorem of Completeness -- §6.1. Theorem of Completeness -- §6.2. Number of Moduli -- §6.3. Later Developments -- 7 Theorem of Stability -- §7.1. Differentiable Family of Strongly Elliptic Differential Operators -- §7.2. Differentiable Family of Compact Complex Manifolds -- Appendix Elliptic Partial Differential Operators on a Manifold -- §1. Distributions on a Torus -- §2. Elliptic Partial Differential Operators on a Torus -- §3. Function Space of Sections of a Vector Bundle -- §4. Elliptic Linear Partial Differential Operators -- §5. The Existence of Weak Solutions of a Strongly Elliptic Partial Differential Equation -- §6. Regularity of Weak Solutions of Elliptic Linear Partial Differential Equations.
538$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
710$aSpringerLink (Online service)
830$aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,$v283
856$uhttp://dx.doi.org/10.1007/978-1-4613-8590-5
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