General elephants of $\mathbb{Q}$-Fano 3-folds

 Access to full text

 Full (PDF)

1. [A] V. Alexeev, Ample Weil divisors on K3 surfaces with Du Val singularities, Duke Math. J.64 (1991), 617-624. Zbl0766.14030MR1141287
2. [Ar] M. Artin, On isolated rational singularities of surfaces, Am. J. Math.88 (1966), 129-137. Zbl0142.18602MR199191
3. [CM] A. Conte - J.P. Murre, Algebraic varieties of dimension three whose hyperplane sections are Enriques surfaces, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV Ser. 12 (1985), 43-80. Zbl0612.14041MR818801
4. [CT] J.-L. Colliot-Thélène, Arithmétique des variétés rationelles et problèmes birationelles, In: "Proc. Int. Conf. Math.", 1986, 641-653. Zbl0698.14060MR934267
5. [Co] A. Corti, Thesis, in preparation. 
6. [Fa] G. Fano, Sulle varietà algebriche a tre dimensioni le cui sezioni iperpiane sono superficie di genere zero e bigenere uno, Memoire società dei XL, 24 (1938), 41-66. Zbl0022.07702JFM65.1403.02
7. [Fl1] A.R. Fletcher, Letter to V. A. Iskovskih, 1987. 
8. [Fl2] A.R. Fletcher, Working with weighted complete intersections, Max-Plank Institute preprint, 1989. 
9. [I1] V.A. Iskovskih, Fano threefolds I, II, Izv. Akad. Nauk SSSR, 41 (1977), 516-562, resp. 42 (1978), 506-549. Zbl0407.14016MR463151
10. [I2] V.A. Iskovskih, Lectures on Algebraic Threefolds. Fano Varieties, Publ. by Moscow University, 1988. 
11. [Kaw1] Y. Kawamata, Boundedness of Q-Fano threefolds, preprint, 1989. MR1175897
12. [Kaw2] Y. Kawamata, Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces, Ann. of Math.127 (1988), 93-163. Zbl0651.14005MR924674
13. [Kaw3] Y. Kawamata, The minimal discrepancy coefficients of terminal singularities in dimension 3. Appendix to [Sh3]. 
14. [Kaw4] Y. Kawamata, Termination of log flips for algebraic 3-folds, preprint, 1991. Zbl0814.14016MR1189678
15. [KMM] Y. Kawamata, K. Matsuda and K. Matsuki, Introduction to the Minimal Model Program, In: "Algebraic Geometry, Sendai", Adv. Stud. Pure Math.10 (1987), 283-360. Zbl0672.14006MR946243
16. [Kd] K. Kodaira, On Compact Analytic Surfaces, I. II, III, In "Collected works ", v. 3, Iwanami Shoten, Publishers and Princeton University Press, 1975. Zbl0315.01027MR140519
17. [Ko1] J. Kollár, Flops, Nagoya Math. J., 113 (1989), 14-36. Zbl0645.14004MR986434
18. [Ko2] J. Kollár, Flips, flops, minimal models etc, preprint, 1990. MR1144527
19. [Ma] Yu. I. Manin, Cubic forms. 
20. [M1] S. Mori, Threefolds whose canonical bundles are not numerically effective, Ann. of Math.116 (1982), 133-176. Zbl0557.14021MR662120
21. [M2] S. Mori, Classification of Higher Dimensional Varieties, In: "Algebraic geometry Bowdoin 1985", Proc. Symp. Pure Math.46 (1987), 269-332. Zbl0656.14022MR927961
22. [M3] S. Mori, Lectures on Fano 3-folds, University of Utah, 1988. 
23. [N] V.V. Nikulin, Linear systems on singular K3 surfaces, preprint, 1990. 
24. [R1] M. Reid, Projective morphisms according to Kawamata, preprint, 1983. MR717617
25. [R2] M. Reid, Young Person's Guide to Canonical Singularities, In: "Algebraic geometry Bowdoin 1985", Proc. Symp. Pure Math.46AMS, 1987, 345-416. Zbl0634.14003MR927963
26. [R3] M. Reid, Birational geometry of 3-folds according to Sarkisov, unpublished lecture notes, 1991. 
27. [Sh1] V.V. Shokurov, Smoothness of a general anticanonical divisor on a Fano variety, Izv. Akad. Nauk SSSR, 14 (1980), 395-405. Zbl0429.14012
28. [Sh2] V.V. Shokurov, The nonvanishing theorem, Izv. Akad. Nauk SSSR, 49 (1985), 635-651. Zbl0605.14006MR794958
29. [Sh3] V.V. Shokurov, 3-fold log flips, preprint, 1991 (translated by M. Reid). 
30. [U] T. Urabe, Fixed components of linear systems on K3 surfaces, preprint, 1990. 
31. [W1] P.M.H. Wilson, Varieties, Bull. London Math. Soc., 19 (1987), 1-48. Zbl0612.14033MR865038
32. [W2] P.M.H. Wilson, Toward a birational classification of algebraic varieties, Bull. London Math. Soc., 19 (1987), 1-48. Zbl0612.14033MR865038
33. [KoMo] J. Kollár and S. Mori, Classification of three-dimensional flips, J. Amer. Math. Soc., 5 (1992), 533-703. Zbl0773.14004MR1149195