Several Complex Variables

by Takeo Ohsawa (Author)
Presents quite recent research works, all of very high standard, in the field of several complex variables
Selects only extremely important materials from the conventional basic theory of complex analysis and manifold theory
Requires no more than a one-semester introductory course in complex analysis as a prerequisite for understanding

This volume consists of a collection of articles for the proceedings of the 40th Taniguchi Symposium Analysis and Geometry in Several Complex Variables held in Katata, Japan, on June 23-28, 1997. Since the inhomogeneous Cauchy-Riemann equation was introduced in the study of Complex Analysis of Several Variables, there has been strong interaction between Complex Analysis and Real Analysis, in particular, the theory of Partial Differential Equations.

This volume of the EMS contains four survey articles on analytic spaces. They are excellent introductions to each respective area. Starting from basic principles in several complex variables each article stretches out to current trends in research. Graduate students and researchers will find a useful addition in the extensive bibliography at the end of each article.