Kodaira

This book is an introduction to the theory of complex manifolds and their deformations. Deformation of the complex structure of Riemann surfaces is an idea which goes back to Riemann who, in his famous memoir on Abelian functions published in 1857, calculated the number of effective parameters on which the deformation depends. Since the publication of Riemann's memoir, questions concerning the deformation of the complex structure of Riemann surfaces have never lost their interest. The deformation of algebraic surfaces seems to have been considered first by Max Noether in 1888 (M. Noether: Anzahl der Modulen einer Classe algebraischer Fliichen, Sitz. K6niglich. Preuss. Akad. der Wiss. zu Berlin, erster Halbband, 1888, pp. 123-127). However, the deformation of higher dimensional complex manifolds had been curiously neglected for 100 years. In 1957, exactly 100 years after Riemann's memoir, Frolicher and Nijenhuis published a paper in which they studied deformation of higher dimensional complex manifolds by a differential geometric method and obtained an important result. (A. Fr61icher and A. Nijenhuis: A theorem on stability of complex structures, Proc. Nat. Acad. Sci., U.S.A., 43 (1957), 239-241).

In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the general techniques developed in algebraic geometry during the 1950's and 1960's.

Authors: Noguchi, Junjiro
Is an easily readable and enjoyable text on the classical analytic function theory of several complex variables for new graduate students in mathematics
Includes complete proofs of Oka's Three Coherence Theorems, Oka–Cartan's Fundamental Theorem, and Oka's Theorem on Levi's problem for Riemann domains
Can easily be used for courses and lectures with self-contained treatments and a number of simplifications of classical proofs

Toshiyuki Honda (born April 9, 1957, Tokyo) is a Japanese jazz musician and composer. Honda's father was a jazz critic, whose name was also Toshiyuki Honda. As a jazz musician, he learned flute and saxophone, and worked in the late 1970s with George Otsuka and the Burning Waves ensemble. In the 1980s he worked with Chick Corea, Tatsuya Takahashi, and Kazumi Watanabe, as well as leading his own ensemble, Super Quartet. he was also a member of the ensemble Native Son. Starting in the late 1980s, Honda turned increasingly toward composing for film and television, as well as working in record producing. He composed the soundtrack for the film A Taxing Woman in 1987, which raised his prominence as a film scorer.