Analytic Function Theory of Several Variables Elements of Oka’s Coherence /

• Main Author: Noguchi, Junjiro (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2016.
• Subjects: Mathematics.; Algebraic geometry.; Category theory (Mathematics).; Homological algebra.; Functions of complex variables.; Several Complex Variables and Analytic Spaces.; Category Theory, Homological Algebra.; Algebraic Geometry.

The purpose of this book is to present the classical analytic function theory of several variables as a standard subject in a course of mathematics after learning the elementary materials (sets, general topology, algebra, one complex variable). This includes the essential parts of Grauert–Remmert�...

Table of Contents:

• Holomorphic Functions
• Oka's First Coherence Theorem
• Sheaf Cohomology
• Holomorphically Convex Domains and Oka--Cartan's Fundamental Theorem
• Domains of Holomorphy
• Analytic Sets and Complex Spaces
• Pseudoconvex Domains and Oka's Theorem
• Cohomology of Coherent Sheaves and Kodaira's Embedding Theorem
• On Coherence
• Appendix
• References
• Index
• Symbols.