Kähler-Einstein metrics on log Del Pezzo surfaces in weighted projective 3-spaces

Annales de l'Institut Fourier

Volumn 51, Issue 1, 2001, Pages 69-79

  Johnson, Jennifer M ^a   Kollár, János ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

Del Pezzo surface; K hler Einstein metric

Indexed keywords

EID: 0035582028     PISSN: 03730956     EISSN: None     Source Type: Journal    
DOI: 10.5802/aif.1815     Document Type: Article

References (13)

1. V. ALEXEEV, Two two-dimensional terminations, Duke Math. J., 69 (1993), 527-545.
2. 2 for log surfaces, Internat. J. Math., 5 (1994), 779-810.
3. C. BOYER and K. GALICKI, New Einstein Manifolds in Dimension Five, Manuscript.
4. E. BRIESKORN, Rationale Singularitäten komplexer Flächen, Invent. Math., 4 (1968), 336-358.
5. J.-P. DEMAILLY and J. KOLLÁR, Semi-continuity of complex singularity exponents and Kähler-Einstein metrics on Fano orbifolds, (to appear).
6. I. DOLGACHEV, Weighted projective varieties, in: Group actions and vector fields, Springer Lecture Notes in Math. vol. 956, (1982), 34-71.
7. A.R. FLETCHER, Working with weighted complete intersections, Preprint MPI/89-35, Max-Planck Institut für Mathematik, Bonn, 1989.
8. W. FULTON, Intersection theory, Springer-Verlag, Berlin-New York, 1984, Second ed. 1998.
9. S. KEEL and J. MCKERNAN, Rational curves on quasi-projective surfaces, Mem. Amer. Math. Soc., 140 (1999), no 669.
10. J. KOLLÁR, Singularities of pairs, Algebraic Geometry, Santa Cruz, 1995, Proceedings of Symposia in Pure Math. vol. 62, AMS (1997), 221-287.
11. J. KOLLÁR and S. MORI, Birational geometry of algebraic varieties, Cambridge Univ. Press, 1998.
12. M. MIYANISHI, Noncomplete algebraic surfaces, Lecture Notes in Mathematics, 857, Springer-Verlag, Berlin-New York, 1981.
13. A.M. NADEL, Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature, Annals of Math., 132 (1990), 549-596.