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Singular set of some Kähler orbifolds
Author(s):
Thalia
D.
Jeffres
Journal:
Trans. Amer. Math. Soc.
349
(1997),
1961-1971.
MSC (1991):
Primary 53C55;
Secondary 14J17
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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:
- [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
Email:
tjeffres@math.uci.edu
DOI:
10.1090/S0002-9947-97-01796-0
PII:
S 0002-9947(97)01796-0
Received by editor(s):
November 6, 1995
Copyright of article:
Copyright
1997,
American Mathematical Society
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