On the existence of good divisors on Fano manifolds of coindex 3. II

Journal of Mathematical Sciences

Volumn 85, Issue 4, 1997, Pages 2115-2127

  Prokhorov, Yu G ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 53249100694     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02359884     Document Type: Article

References (24)

1. V. A. Alexeev, "Theorem about good divisors on log Fano varieties," Lect. Notes Math., 1479, 1-9 (1991).
2. T. Fujita, "On the structure of polarized varieties with Δ-genera zero," J. Fac. Sci. Univ. Tokyo, 22, 103-115 (1975).
3. T. Fujita, "Remarks on quasi-polarized varieties," Nagoya Math. J., 115, 105-123 (1989).
4. T. Fujita, "On polarized manifolds whose adjoint bundles are not semipositive," Adv. Studies Pure Math., 10, 165-178 (1987).
5. T. Fujita, "On singular Del Pezzo varieties," Lect. Notes Math., 1417, 117-128 (1990).
6. V. A. Iskovskikh, "Anticanonical models of algebraic threefolds," In: Sovremennye Problemy Matematiki, Vol. 12, Itogi Nauki i Tekhn., All-Union Institute for Scientific and Technical Information (VINITI), Akad. Nauk SSSR, Moscow (1979), pp. 159-236.
7. Y. Kawamata, "A generalization of Kodaira-Ramanujam's vanishing theorem," Math. Ann., 261, 43-46 (1982).
8. Y. Kawamata, "On the length of extremal rational curves," Invent. Math., 105, No. 3, 609-611 (1991).
9. Y. Kawamata, K. Matsuda, and K. Matsuki, "Introduction to the minimal model program," Adv. Stud. Pure Math., 10, 283-360 (1987).
10. J. Kollar et al., "Flips and abandance for algebraic threefolds. A summer seminar at the University of Utah," Asterisque, No. 211 (1992).
11. H. Clemens, J. Kollar, and S. Mori, "Higher dimensional complex geometry. A summer seminar at the University of Utah," Asterisque, No. 166 (1988).
12. S. Mori, "Flip theorem and the existence of minimal models for 3-folds," J. Am. Math. Soc., 1,117-253 (1988).
13. S. Mukai, "Biregular classification of Fano threefolds and Fano manifolds of coindex 3," Proc. Natl. Acad. Sci. USA, 86, 3000-3002 (1989).
14. Yu. G. Prokhorov, "On the existence of good divisors on Fano manifolds of coindex 3," Tr. Mat. Inst. Ros. Akad. Nauk, 208 (1994).
15. Yu. G. Prokhorov, "On the existence of smooth divisors on 4-dimensional Fano manifolds of index 2," Mat. Sb. (1994).
16. M. Reid, "Projective morphisms according to Kawamata," Preprint, Univ. of Warwick (1983).
17. M. Reid, "Birational geometry of 3-folds according to Sarkisov," Preprint.
18. K.-H. Shin, "3-dimensional Fano varieties with canonical singularities," Tokyo J. Math., 12, 375-385 (1989).
19. E. Viehweg, "Vanishing theorems," J. Reine Angew. Math., 335, 1-8 (1982).
20. P. M. H. Wilson, "Fano fourfolds of index greater than one," J. Reine Angew. Math., 389, 172-181 (1987).
21. V. V. Shokurov, "The smoothness of a generic anticanonical divisor on Fano manifolds," Izv. Akad. Nauk. SSSR, Ser. Mat., 43, No. 2, 430-441 (1979).
22. V. V. Shokurov, "A nonvanishing theorem," Izv. Akad. Nauk SSSR, Ser. Mat., 49, No. 3, 635-651 (1985).
23. V. V. Shokurov, "Three-dimensional log-surgery," Izv. Ros. Akad. Nauk, Ser. Mat., 56, No. 1, 105-203 (1992).
24. Y. Miyaoka and S. Mori, "A numerical criterion of uniruledness," Ann. Math., 124, 65-69 (1986).