**AMS Chelsea Publishing**

Volume: 363;
1987;
247 pp;
Hardcover

MSC: Primary 32;
**Print ISBN: 978-0-8218-4422-9
Product Code: CHEL/363.H**

List Price: $44.00

Individual Member Price: $39.60

# Lectures on Counterexamples in Several Complex Variables

Share this page
*John Erik Fornæss; Berit Stensønes*

Counterexamples are remarkably effective for understanding the meaning,
and the limitations, of mathematical results. Fornæss and
Stensønes
look at some of the major ideas of several complex variables by
considering counterexamples to what might seem like reasonable variations
or generalizations. The first part of the book reviews some of the basics
of the theory, in a self-contained introduction to several complex
variables. The counterexamples cover a variety of important topics: the
Levi problem, plurisubharmonic functions, Monge-Ampère equations, CR
geometry, function theory, and the \(\bar\partial\) equation.

The book would be an excellent supplement to a graduate course on several
complex variables.

#### Table of Contents

# Table of Contents

## Lectures on Counterexamples in Several Complex Variables

#### Readership

Graduate students and research mathematicians interested in several complex variables.