Fano hypersurfaces in weighted projective 4-spaces

Experimental Mathematics

Volumn 10, Issue 1, 2001, Pages 151-158

  Johnson, jennifer M ^a   Kollar, janos ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040970362     PISSN: 10586458     EISSN: None     Source Type: Journal    
DOI: 10.1080/10586458.2001.10504438     Document Type: Article

References (15)

1. J. P. Bourguignon, "Métriques d'Einstein-Kahler sur les variétés de Fano: obstructions et existence (d'après Y. Matsushima, A. Futaki, S. T. Yau, A. Nadel et G. Tian)", pp. 277-305 (Exp. 830) in Séminaie Bourbaki, 1996/97, Astérisque 245, Soc. math. France, Paris, 1997.
2. F. Campana, "Une version géometrique généralisée du théorèmede produit de Nadel", C. R. Acad. Sci. Paris Sér. I Math. 312:11 (1991), 853-856.
3. J.-P. Demailly and J. Kollár, "Semi-continuity of complex singularity exponents and Kähler-Einstein metrics on Fano orbifoldś, 1999. See www.arxiv.org/abs/math.AG/9910118. To appear in Ann. Sci. Ec. Norm. Sup.
4. I. Dolgachev, "Weighted projective varieties", pp. 34-71 in Group actions and vector fields (Vancouver, 1981), edited by J. B. Carrell, Lecture Notes in Math. 956, Springer, Berlin, 1982.
5. A. R. Iano-Fletcher, "Working with weighted complete intersections", preprint 89-35, Max-Planck Institut für Mathematik, Bonn, 1989. (The author's name on the preprint is just Fletcher.) Revised version appears on pp. 101-173 of Explicit birational geometry of 3-folds, edited by A. Corti and M. Reid, Cambridge Univ. Press, Cambridge, 2000.
6. J. M. Johnson and J. Kollár, "Kähler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces", 2000. See www.arxiv.org/abs/math.AG/0008129. To appear in Ann. Inst. Fourier.
7. S. Keel and J. McKernan, Rational curves on quasi-projective surfaces, Mem. Amer. Math. Soc. 669, Amer. Math. Soc., Providence, 1999.
8. J. Kollár and S. Mori, Birational geometry of algebraic varieties, Cambridge tracts in mathematics 134, Cambridge Univ. Press, Cambridge, 1998.
9. J. Kollár et al., Flips and abundance for algebraic threefolds (Salt Lake City, 1991), Astérisque 211, Soc. math. France, Paris, 1992.
10. J. Kollár, Y. Miyaoka, and S. Mori, "Rational connectedness and boundedness of Fano manifolds", J. Differential Geom. 36:3 (1992), 765-779.
11. A. M. Nadel, "Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature", Ann. of Math. (2) 132:3 (1990), 549-596.
12. A. M. Nadel, "The boundedness of degree of Fano varieties with Picard number one", J. Amer. Math. Soc. 4:4 (1991), 681-692.
13. V. V. Shokurov, "Complements on surfaces", J. Math. Sci. (New York) 102:2 (2000), 3876-3932. See www.arxiv.org/abs/alg-geom/9711024 for preprint version.
14. M. Tomari, "Multiplicity of filtered rings and simple K3 singularities of multiplicty t wo", preprint, Kanazawa University, 2000.
15. T. Yonemura, "Hypersurface simple K3 singularities", Tohoku Math. J. (2) 42:3 (1990), 351-380.