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Transactions of the American Mathematical Society

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Singular set of some Kähler orbifolds

Author: Thalia D. Jeffres
Journal: Trans. Amer. Math. Soc. 349 (1997), 1961-1971
MSC (1991): Primary 53C55; Secondary 14J17
MathSciNet review: 1389780
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Abstract: We consider some examples of orbifolds with positive first Chern class. Applying a result of Ding and Tian, we show that the singularities must be very mild if the orbifold admits a Kähler-Einstein metric.

References [Enhancements On Off] (What's this?)

  • [BK] D. Bättig and H. Knörrer, ``Singularitäten'', Birkhäuser, 1991.
  • [BPV] W. Barth, C. Peters, and A. van de Ven, Compact Complex Surfaces, Springer-Verlag, 1984. MR 86c:32026
  • [DT] W. Ding and G. Tian, Kaehler-Einstein metrics and the generalized Futaki invariant, Invent Math. 110 (1992), 315-335. MR 93m:53039
  • [F] A. Futaki, Kaehler-Einstein metrics and integral invariants, Lecture Notes in Math., vol. 13, 14, Springer-Verlag, 1988. MR 90a:53053
  • [MM] T. Mabuchi and S. Mukai, Stability and Einstein-Kaehler metric of a quartic del Pezzo surface, Einstein Metrics and Yang-Mills Connections (Proc. 27th Taniguchi Internat. Sympos., Savda, 1990; T. Mabuchi and S. Mukai, editors), Lecture Notes in Pure Appl. Math., vol. 145, Marcel Dekker, New York, 1993, pp. 133-160. MR 94m:32043
  • [T] G. Tian, On Calabi's conjecture for complex surfaces with positive first Chern class, Invent Math. 101 (1991), 101-172. MR 91d:32042

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Additional Information

Thalia D. Jeffres
Affiliation: Department of Mathematics, State University of New York, Stony Brook, New York 11794-3651
Address at time of publication: Department of Mathematics, University of California at Irvine, Irvine, California 92697-3875

Received by editor(s): November 6, 1995
Article copyright: © Copyright 1997 American Mathematical Society

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