Lectures on counterexamples in several complex variables / John Erik Fornæss, Berit Stensønes.

Format:

Book

Author/Creator:

Fornæss, John Erik, author.

Stensønes, Berit, 1956- author.

Series:

AMS Chelsea Publishing, v. 363

Language:

English

Subjects (All):

Functions of several complex variables.

Physical Description:

1 online resource (260 pages) : illustrations

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2007.

Summary:

Counterexamples are remarkably effective for understanding the meaning, and the limitations, of mathematical results. Fornaess and Stensones 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-Ampere 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.

Notes:

Originally published: Princeton, N.J. : Princeton University Press ; [Tokyo] : University of Tokyo Press, 1987.

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-3120-3