Proc. Japan Acad. Ser. A Math. Sci. 77 (4), 47-49, (April 2001) DOI: 10.3792/pjaa.77.47
Toshiki Mabuchi, Yasuhiro Nakagawa
KEYWORDS: The Bando-Calabi-Futaki character, obstruction, semistability, Tian, Chow points, 14L30, 14L24, 53C55, 53C25
This is an announcement of our result showing that the Bando-Calabi-Futaki character for an integral Kähler class, if any, of a compact complex manifold is regarded as an obstruction to semistability of the manifold. This develops a pioneering work of Fujiki .