Abstract.
For a Kähler class of a compact connected complex manifold, the associated Bando-Calabi-Futaki character is known as an obstruction to the existence of a Kähler metric in that class with constant scalar curvature. The purpose of this paper is to show that, for an integral Kähler class, the Bando-Calabi-Futaki character is an obstruction also to semistability in the geometric invariant theory.
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An erratum to this article is available at http://dx.doi.org/10.1007/s00208-004-0584-4.
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Mabuchi, T., Nakagawa, Y. The Bando-Calabi-Futaki character as an obstruction to semistability. Math. Ann. 324, 187–193 (2002). https://doi.org/10.1007/s002080200336
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DOI: https://doi.org/10.1007/s002080200336