The classification of three-dimensional homogeneous complex manifolds
By: Jörg Winkelmann.
Series: Lecture notes in mathematics ;; 1602; Lecture notes in mathematics (Springer-Verlag) ;; 1602.
Publisher: Springer
Published: 1995
Place of publication: Berlin; New York
Language: eng
Number of pages: 230
Subjects: Homogeneous complex manifolds
Description: This book provides a classification of all three-dimensional complex manifolds for which there exists a transitive action (by biholomorphic transformations) of a real Lie group. This means two homogeneous complex manifolds are considered equivalent if they are isomorphic as complex manifolds. The classification is based on methods from Lie group theory, complex analysis and algebraic geometry. Basic knowledge in these areas is presupposed.
Notes: Includes bibliographical references (p. [225]-228) and index.