Furushima, Mikio
Complex analytic compactifications of C3
Compositio Mathematica, Tome 76 (1990) no. 1-2 , p. 163-196
Zbl 0721.32012 | MR 1078861
URL stable : http://www.numdam.org/item?id=CM_1990__76_1-2_163_0

Bibliographie

1. M. Artin, On isolated rational singularities of surfaces, Amer. J. Math. 88 (1966) 129-136. MR 199191 | Zbl 0142.18602

2. L. Brenton, Some algebraicity criteria for singular surfaces, Invent. Math. 41 (1977) 129-147. MR 463508 | Zbl 0337.32010

3. M. Furushima, Singular del Pezzo surfaces and complex analytic compactifications of the 3-dimensional complex affine space C3, Nagoya Math. J. 104 (1986) 1-28. MR 868434 | Zbl 0612.14037

4. M. Furushima, Singular K3 surfaces with hypersurface singularities, Pacific J. Math. 125 (1986) 67-77. MR 860750 | Zbl 0609.14020

5. M. Furushima and N. Nakayama, A new construction of a compactification of C3, Tohoku Math. J. 41 (1989), 543-560. MR 1025321 | Zbl 0703.14025

6. M. Furushima and N. Nakayama, The family of lines in the Fano 3-fold V5, to appear in Nagoya Math. J. 116 (1989). MR 1029973 | Zbl 0731.14025

7. M. Furushima, Complex analytic compactifications of C3, Proc. Japan Akad. 64 Ser. A (1988) 25-26. MR 953757 | Zbl 0651.14024

8. V.A. Iskovskih, Fano 3-fold I, Math. U.S.S.R. Izvestija 11 (1977) 485-527. Zbl 0382.14013

9. V.A. Iskovskih, Anticanonical models of three-dimensional algebraic varieties, J. Soviet Math. 13-14 (1980) 745-814. Zbl 0428.14016

10. Y. Kawamata, K. Matsuda and K. Matsuki, Introduction to the minimal model problem, in Algebraic Geometry, Sendai, Advanced Studies in Pure Math. 10, Kinokuniya, Tokyo and North Holland, Amsterdam (1987) 551-590. MR 946243 | Zbl 0672.14006

11. H. Laufer, On minimally elliptic singularities, Amer. J. Math. 99 (1977) 1257-1295. MR 568898 | Zbl 0384.32003

12. S. Mori, Threefolds whose canonical bundles are not numerical effective, Ann. Math. 116 (1982) 133-176. MR 662120 | Zbl 0557.14021

13. D. Morrison, The birational geometry of surfaces with rational double points, Math. Ann. 271 (1985) 415-438. MR 787190 | Zbl 0539.14008

14. S. Mukai and H. Umemura, Minimal rational threefolds, Lecture Notes in Mathematics 1016, Springer Verlag, Berlin, Heidelberg, New York (1983) 490-518. MR 726439 | Zbl 0526.14006

15. S. Mukai, Curves, K3 surfaces and Fano 3-folds of genus ≤ 10, Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata (1988), to appear. Zbl 0701.14044

16. S. Mukai, New classification of Fano 3-folds and Fano manifolds of coindex 3, Preprint (1980). Zbl 0679.14020

16a.S. Mukai: Private letter, May 1986.

17. D. Mumford, Topology of normal singularities of an algebraic surface and a criterion for simplicity, Publ. Math. I.H.E.S. 9 (1961) 5-22. Numdam | MR 153682 | Zbl 0108.16801

18. T. Peternell and M. Schneider, Compactifications of C3 (I), Math. Ann. 280 (1988) 129-146. MR 928301 | Zbl 0651.14025

19. T. Peternell, Compactifications of C3 (II), Math. Ann. 283 (1989), 121-137. MR 973807 | Zbl 0671.14020

20. M. Reid, Minimal models of canonical 3-folds, in Algebraic Varieties and Analytic varieties, Advanced studies in Pure Math. 1, Kinokuniya, Tokyo and North-Holland, Amsterdam (1983) 131-180. MR 715649 | Zbl 0558.14028

21. J.P. Serre, Groupes algébriques et corps de classes, Actualités Sci. Indust. no. 1264. Hermann, Paris (1959). Zbl 0097.35604

22. Y. Umezu, On normal projective surfaces with trivial dualizing sheaf, Tokyo J. Math. 4 (1981) 343-354. MR 646044 | Zbl 0496.14025

23. P. Wagreich, Elliptic singularities of surfaces, Amer. J. Math. 2 (1970) 419-454. MR 291170 | Zbl 0204.54501

24. S.T. Yau, On maximally elliptic singularities, Trans. A.M.S. 257 (1980) 269-329. MR 552260 | Zbl 0343.32009