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Lectures on Counterexamples in Several Complex Variables


Part of the AMS Chelsea Publishing series

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Lectures on Counterexamples in Several Complex Variables Synopsis

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.

About This Edition

ISBN: 9780821844229
Publication date: 30th October 2007
Author:
Publisher: American Mathematical Society
Format: Hardback
Series: AMS Chelsea Publishing
Genres: Complex analysis, complex variables
Calculus and mathematical analysis