Complex Manifolds and Deformation of Complex Structures

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Editors

M. Artin s. S. Chern 1. M. Frohlich E. Heinz H. Hironaka F. Hirzebruch L. Hormander S. Mac Lane C. C. Moore 1. K. Moser M. Nagata W. Schmidt D. S. Scott Ya. G. Sinai 1. Tits B. L. van der Waerden M. Waldschmidt S. Watanabe Managing Editors

M. Berger

B. Eckmann

S. R. S. Varadhan

Grundlehren der mathematischen Wissenschaften A Series of Comprehensive Studies in Mathematics

A Selection 200. 20 I. 202. 203. 204. 205. 206. 207. 208. 209. 210. 211. 212. 213. 214. 215. 216. 217. 218. 219. 220. 221. 222. 223. 224. 225. 226. 227. 228. 229. 230. 231. 232. 233. 234. 235. 236. 237. 238. 239. 240. 241. 242. 243. 244.

Dold: Lectures on Algebraic Topology Beck: Continuous Flows in the Plane Schmetterer: Introduction to Mathematical Statistics Schoeneberg: Elliptic Modular Functions Popov: Hyperstability of Control Systems Nikol'skii: Approximation of Functions of Several Variables and Imbedding Theorems Andre: Homologie des Algebres Commutatives Donoghue: Monotone Matrix Functions and Analytic Continuation Lacey: The Isometric Theory of Classical Banach Spaces Ringel: Map Color Theorem GihmanlSkorohod: The Theory of Stochastic Processes I Comfort!Negrepontis: The Theory of Ultrafilters Switzer: Algebraic Topology-Homotopy and Homology Shafarevich: Basic Alegebraic Geometry van der Waerden: Group Theory and Quantum Mechanics Schaefer: Banach Lattices and Positive Operators P6lyalSzego: Problems and Theorems in Analysis II StenstrOm: Rings of Quotients GihmanlSkorohod: The Theory of Stochastic Process II DuvantlLions: Inequalities in Mechanics and Physics Kirillov: Elements of the Theory of Representations Mumford: Algebraic Geometry I: Complex Projective Varieties Lang: Introduction to Modular Forms Bergh!LofstrOm: Interpolation Spaces. An Introduction Gilbarg/Trudinger: Elliptic Partial Differential Equations of Second Order Schutte: Proof Theory Karoubi: K-Theory, An Introduction GrauertlRemmert: Theorie der Steinschen Riiume Segal/Kunze: Integrals and Operators Hasse: Number Theory Klingenberg: Lectures on Closed Geodesics Lang: Elliptic Curves: Diophantine Analysis GihmanlSkorohod: The Theory of Stochastic Processes III StroocklVaradhan: Multi-dimensional Diffusion Processes Aigner: Combinatorial Theory DynkinlYushkevich: Markov Control Processes and Their Applications GrauertlRemmert: Theory of Stein Spaces Kothe: Topological Vector-Spaces II Graham/McGehee: Essays in Commutative Harmonic Analysis Elliott: Probabilistic Number Theory I Elliott: Probabilistic Number Theory II Rudin: Fun~tion Theory in the Unit Ball of C' HuppertlBlackburn: Finite Groups I HuppertlBlackburn: Finite Groups II KubertlLang: Modular Units

continued after Index

Kunihiko Kodaira

Cotnplex Manifolds and Deformation of Cotnplex Structures Translated by Kazuo Akao

With 22 Illustrations

Springer-Verlag New York Berlin Heidelberg Tokyo

Kunihiko Kodaira 3-19-8 Nakaochiai Shinjuku-Ku, Tokyo Japan

Kazuo Akao (Translator) Department of Mathematics Gakushuin University Tshima-ku, Tokyo Japan

AMS Classifications: 32-01, 32CI0, 58C1O, 14