Existence of good divisors on Mukai varieties

Journal of Algebraic Geometry

Volumn 8, Issue 2, 1999, Pages 197-206

  Mella, Massimiliano ^a,b  

^a UNIVERSITY OF TRENTO   (Italy)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033445221     PISSN: 10563911     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. Alexeev, V., Theorem about good divisors on log Fano varieties, Lecture Notes in Math. 1479 (1991) 1-9.
2. Campana, F. and Flenner, H., Protective threefolds containing a smooth rational surface with ample normal bundle, J. reine angew. Math. 440 (1993), 77-98.
3. Ciliberto, C., Lopez, A., and Miranda, R., Classification of varieties with canonical curve section via Gaussian maps on canonical curves, Amer. J. Math. 120 (1988), 1-21.
4. Conte, A. and Murre, J. P., Algebraic varieties of dimension three whose hyperplane sections are Enriques surfaces, Ann. Sci. Norm. Sup. Pisa, Cl. Sci. IV Ser. 12 (1985), 43-80.
5. Cossec, F. R., Projective models of Enriques surfaces, Math. Ann. 265, 283-334 (1983).
6. Fano, G., Sopra alcune varietà algebriche a tre dimensioni aventi tutti i generi nulli, Atti Acc. Torino 43 (1908).
7. Fujita, T., On the structure of polarized manifolds with total deficiency one I, II and III, J. Math. Soc. Japan 32 (1980) 709-725, 33 (1981) 415-434, and 36 (1984) 75-89.
8. Fujita, T., On the structure of polarized manifolds with total deficiency one I, II and III, J. Math. Soc. Japan 32 (1980) 709-725, 33 (1981) 415-434, and 36 (1984) 75-89.
9. Fujita, T., On the structure of polarized manifolds with total deficiency one I, II and III, J. Math. Soc. Japan 32 (1980) 709-725, 33 (1981) 415-434, and 36 (1984) 75-89.
10. Helmke, S., On Fujita's conjecture, Duke Math. J. 88 (1997) 201-216.
11. V. A. Iskovskikh, Birational automorphisms of three dimensional algebraic varieties, J. Soviet Math. 13 (1980) 815-868.
12. Kawamata, J., On Fujita's freeness conjecture for 3-folds and 4-folds, Math. Ann. 308 (1997), 491-505.
13. _, Subadjunction of log canonical divisors for a subvariety of codimension 2, Contemporary Math. 207 (1997), 79-88.
14. Kawamata, Y., Matsuda, K., and Matsuki, K., Introduction to the Minimal Model Program in Algebraic Geometry, Sendai, Adv. Studies in Pure Math. 10, Kinokuniya-North-Holland (1987), 283-360.
15. Mori, S., Lectures on 3-dimensional algebraic varieties, Utah University, Fall 1988.
16. Mella, M., Existence of good divisors on Mukai manifolds, e-eprint ag961124.
17. Mukai, S., Biregular classification of Fano threefolds and Fano manifolds of co-index 3, Proc. Nat. Acad. Sci. USA 86 (1989) 3000-3002.
18. Prokhorov, Yu. G., On algebraic threefolds whose hyperplane sections are Enriques surfaces, Sbor. Math. 186 (1995) 1341-1352.
19. _, The existence of a smooth divisor on Fano fourfolds of index 2, Russian Acad. Sci. Sb. Math. 83 (1995) 119-131.
20. _, On the existence of good divisors on Fano varieties of co-index 3, preprint.
21. _, On the existence of good divisors on Fano varieties of co-index 3 II, Algebraic Geometry, 2, J. Math. Sci. 85 (1997) 2115-2127.
22. Reid, M., Projective morphism according to Kawamata, Warwick Preprint, 1983.
23. Saint-Donat, B., Projective models of KS surfaces, Amer. J. Math. 96 (1974) 602-639.
24. Sano, T., Classification of Q-Fano d-folds of index greater than d-2, Nagoya Math. J. 142 (1996) 133-143.
25. Shin, K. H., 3-dimensional Fano varieties with canonical singularities, Tokyo J. Math. 12 (1989) 375-385.
26. Shokurov, V. V., Smoothness of the general anticanonical divisor of a Fano 3-fold, Math. USSR Izv. 14 (1980) 395-405.
27. Wilson, P. M. H., Fano fourfold of index greater than one, J. Reine Angew. Math. 389 (1987) 172-184.
28. Reid, M., Young person's guide to canonical singularities, Algebraic Geometry Bowdoin Part I, Proc. Sympos. Pure Math. 46 (1987), 345-414.