Lectures on Counterexamples in Several Complex Variables

Fornaess, John Erik; Stensones, Berit

ISBN 10: 0821844229 / ISBN 13: 9780821844229

Verlag: American Mathematical Society, 2007

Bestandsnummer des Verkäufers 6035368-n

Inhaltsangabe:

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.

Reseña del editor: 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.

Bibliografische Details

Titel: Lectures on Counterexamples in Several ...
Verlag: American Mathematical Society
Erscheinungsdatum: 2007
Einband: Hardcover
Zustand: New