1.

Record Nr.

UNISA996466669003316

Autore

Winkelmann Jörg <1963->

Titolo

The classification of three-dimensional homogeneous complex manifolds / / Jörg Winkelmann

Pubbl/distr/stampa

Berlin, Germany : , : Springer, , [1995]

©1995

ISBN

3-540-49185-6

Edizione

[1st ed. 1995.]

Descrizione fisica

1 online resource (XII, 236 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 1602

Disciplina

510

Soggetti

Homogeneous complex manifolds

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Survey -- The classification of three-dimensional homogeneous complex manifolds X=G/H where G is a complex lie group -- The classification of three-dimensional homogeneous complex manifolds X=G/H where G is a real lie group.

Sommario/riassunto

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.