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Lectures on Counterexamples in Several Complex Variables
John Erik Fornæss and Berit Stensønes, University of Michigan, Ann Arbor, MI
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AMS Chelsea Publishing
1987; 247 pp; hardcover
Volume: 363
ISBN-10: 0-8218-4422-9
ISBN-13: 978-0-8218-4422-9
List Price: US$41
Member Price: US$36.90
Order Code: CHEL/363.H
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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.

Readership

Graduate students and research mathematicians interested in several complex variables.

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