References
[Ba] Baily, W.: On the Imbedding of V-manifolds in Projective Space. Am. J. Math.79, 403–430 (1957)
[BM] Bando, S., Mabuchi, T.: Uniqueness of Einstein Kähler Metrics Modulo Connected Group Actions. In: Oda, T. (ed.) Algebraic Geometry, Sendai 1985. (Adv. Stud. Pure Math., vol. 10) Amsterdam: North-Holland & Tokyo: Kinokuniya 1987
[BPV] Barth, W., Peter, A., Van de Ven: Compact Complex Surfaces. Berlin Heidelberg New York: Springer 1984
[Di] Ding, W.: Remarks on the Existence Problem of Positive Kähler-Einstein Metrics. Math. Am.282, 463–471 (1988)
[DT] Ding, W., Tian, G.: The Generalized Moser-Trudinger Inequality. (Preprint 1991)
[Fu1] Futaki, A.: An Obstruction to the Existence of Einstein Kähler Metrics. Invent. Math.73, 437–443 (1983)
[Fu2] Futaki, A.: Kähler-Einstein Metrics and Integral Invariants. (Lect. Notes Math., vol. 1314) Berlin, Heidelberg New York: Springer 1988
[Ma] Mabuchi, T.: K-energy Maps Integrating Futaki Invariants. Tohoku Math. J.,38, 245–257 (1986)
[Md] Mumford, D.: Stability of Projective Varieties. Enseign. Math., II. Sér.23, fasc. 1–2 (1977)
[MU] Mukai, S., Umemura, H.: Minimal Rational Threefolds. In: Raynaud, M., Shioda, T. (eds.) Algebraic Geometry. Proceedings, Tokyo/Kyoto 1982. (Lect. Notes Math., vol. 1016, pp. 490–518) Berlin Heidelberg New York: Springer 1983
[Si] Simon, L.: Lectures on Geometric Measure Theory. (Proc. Cent. Math. Anal. Aust. Natl. Univ., vol. 3) Canberra: Australian National University 1983
[Ti] Tian, G.: On Calabi's Conjecture for Complex Surfaces with Positive First Chern Class. Invent. Math.101 (no. 1), 101–172 (1990)
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Oblatum 14-I-1992 & 11-V-1992
This author is partially supported by a NSF grant and an Alfred P. Sloan fellowship
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Ding, W., Tian, G. Kähler-Einstein metrics and the generalized Futaki invariant. Invent Math 110, 315–335 (1992). https://doi.org/10.1007/BF01231335
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DOI: https://doi.org/10.1007/BF01231335