@article{CM_1994__91_1_91_0, author = {Alexeev, Valery}, title = {General elephants of $\mathbb {Q}${-Fano} 3-folds}, journal = {Compositio Mathematica}, pages = {91--116}, publisher = {Kluwer Academic Publishers}, volume = {91}, number = {1}, year = {1994}, mrnumber = {1273928}, zbl = {0813.14028}, language = {en}, url = {http://www.numdam.org/item/CM_1994__91_1_91_0/} }
Alexeev, Valery. General elephants of $\mathbb {Q}$-Fano 3-folds. Compositio Mathematica, Tome 91 (1994) no. 1, pp. 91-116. http://www.numdam.org/item/CM_1994__91_1_91_0/
[A] Ample Weil divisors on K3 surfaces with Du Val singularities, Duke Math. J. 64 (1991), 617-624. | MR | Zbl
,[Ar] On isolated rational singularities of surfaces, Am. J. Math. 88 (1966), 129-137. | MR | Zbl
,[CM] Algebraic varieties of dimension three whose hyperplane sections are Enriques surfaces, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV Ser. 12 (1985), 43-80. | Numdam | MR | Zbl
- ,[CT] Arithmétique des variétés rationelles et problèmes birationelles, In: "Proc. Int. Conf. Math.", 1986, 641-653. | MR | Zbl
,[Co] Thesis, in preparation.
,[Fa] 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. | JFM | Zbl
,[Fl1] Letter to V. A. Iskovskih, 1987.
,[Fl2] Working with weighted complete intersections, Max-Plank Institute preprint, 1989.
,[I1] Fano threefolds I, II, Izv. Akad. Nauk SSSR, 41 (1977), 516-562, resp. 42 (1978), 506-549. | MR | Zbl
,[I2] Lectures on Algebraic Threefolds. Fano Varieties, Publ. by Moscow University, 1988.
,[Kaw1] Boundedness of Q-Fano threefolds, preprint, 1989. | MR
,[Kaw2] Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces, Ann. of Math. 127 (1988), 93-163. | MR | Zbl
,[Kaw3] The minimal discrepancy coefficients of terminal singularities in dimension 3. Appendix to [Sh3].
,[Kaw4] Termination of log flips for algebraic 3-folds, preprint, 1991. | MR | Zbl
,[KMM] Introduction to the Minimal Model Program, In: "Algebraic Geometry, Sendai", Adv. Stud. Pure Math. 10 (1987), 283-360. | MR | Zbl
, and ,[Kd] On Compact Analytic Surfaces, I. II, III, In "Collected works ", v. 3, Iwanami Shoten, Publishers and Princeton University Press, 1975. | MR | Zbl
,[Ko1] Flops, Nagoya Math. J., 113 (1989), 14-36. | MR | Zbl
,[Ko2] Flips, flops, minimal models etc, preprint, 1990. | MR
,[Ma] Cubic forms.
,[M1] Threefolds whose canonical bundles are not numerically effective, Ann. of Math. 116 (1982), 133-176. | MR | Zbl
,[M2] Classification of Higher Dimensional Varieties, In: "Algebraic geometry Bowdoin 1985", Proc. Symp. Pure Math. 46 (1987), 269-332. | MR | Zbl
,[M3] Lectures on Fano 3-folds, University of Utah, 1988.
,[N] Linear systems on singular K3 surfaces, preprint, 1990.
,[R1] Projective morphisms according to Kawamata, preprint, 1983. | MR
,[R2] Young Person's Guide to Canonical Singularities, In: "Algebraic geometry Bowdoin 1985", Proc. Symp. Pure Math. 46 AMS, 1987, 345-416. | MR | Zbl
,[R3] Birational geometry of 3-folds according to Sarkisov, unpublished lecture notes, 1991.
,[Sh1] Smoothness of a general anticanonical divisor on a Fano variety, Izv. Akad. Nauk SSSR, 14 (1980), 395-405. | Zbl
,[Sh2] The nonvanishing theorem, Izv. Akad. Nauk SSSR, 49 (1985), 635-651. | MR | Zbl
,[Sh3] 3-fold log flips, preprint, 1991 (translated by M. Reid).
,[U] Fixed components of linear systems on K3 surfaces, preprint, 1990.
,[W1] Varieties, Bull. London Math. Soc., 19 (1987), 1-48. | MR | Zbl
,[W2] Toward a birational classification of algebraic varieties, Bull. London Math. Soc., 19 (1987), 1-48. | MR | Zbl
,[KoMo] Classification of three-dimensional flips, J. Amer. Math. Soc., 5 (1992), 533-703. | MR | Zbl
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