Basic Oka Theory in Several Complex Variables
English | 2024 | ISBN: 9819720559 | 232 Pages | PDF (True) | 2 MB
English | 2024 | ISBN: 9819720559 | 232 Pages | PDF (True) | 2 MB
This book provides a new, comprehensive, and self-contained account of Oka theory as an introduction to function theory of several complex variables, mainly concerned with the Three Big Problems (Approximation, Cousin, Pseudoconvexity) that were solved by Kiyoshi Oka and form the basics of the theory. The purpose of the volume is to serve as a textbook in lecture courses right after complex function theory of one variable. The presentation aims to be readable and enjoyable both for those who are beginners in mathematics and for researchers interested in complex analysis in several variables and complex geometry.