Complex and Kähler structures on compact homogeneous manifolds—their existence, classification and moduli problem

Hasegawa, Keizo

doi:10.2969/aspm/05610151

VOL. 56 | 2009 Complex and Kähler structures on compact homogeneous manifolds—their existence, classification and moduli problem

Chapter Author(s) Keizo Hasegawa

Editor(s) Jean-Paul Brasselet, Shihoko Ishii, Tatsuo Suwa, Michel Vaquie

Adv. Stud. Pure Math., 2009: 151-167 (2009) DOI: 10.2969/aspm/05610151

Abstract

We will survey basic results and recent progress in the existence, classification and moduli problems of complex and Kähler structures on compact homogeneous manifolds. We also state and discuss some related conjectures for further study in this field.