Minimal models of algebraic threefolds : Mori's program

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1. H. Clemens, J. Kollár and S. Mori, "Higher Dimensional Complex Geometry," Asterisque166, 1988 This booklet contains the simplest known proofs of (2.9) and (4.10). It also contains a lot of background material.. Zbl0689.14016MR1004926
2. Y. Kawamata, K. Matsuda and K. Matsuki, Introduction to the Minimal Model Problem, in "Algebraic Geometry, Sendai," Adv. Stud. Pure Math. vol 10. T. Oda ed., Kinokuniya - North-Holland, 1987, pp. 283-360. The most complete discussion of (2.9) and related questions. Zbl0672.14006MR946243
3. J. Kollár, The structure of algebraic threefolds - an introduction to Mori's program, Bull. AMS17 (1987), 211-273. A leisurely introduction, aimed at all mathematicians. Zbl0649.14022MR903730
4. M. Reid, Young person's guide to canonical singularities, in "Algebraic Geometry Bowdoin 1985," Proc. Symp. Pure Math. vol. 46, 1987, pp. 345-416. A nice treatment of the relevant singularities. Zbl0634.14003MR927963
5. P.M.H. Wilson, Toward a birational classification of algebraic varieties, Bull. London Math. Soc.19 (1987), 1-48. An overview aimed at algebraic geometers, written before [Mo4] appeared. Zbl0612.14033MR865038
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12. [Ko1] J. Kollár, The Cone Theorem, Ann. of Math.120 (1984), 1-5. Zbl0544.14010MR750714
13. [KM] J. Kollár and S. Mori, soon to be written up. 
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18. [Mo2] S. Mori, On 3-dimensional terminal singularities, Nagoya Math. J.98 (1985), 43-66. Zbl0589.14005MR792770
19. [Mo3] S. Mori, Minimal models for semistable degenerations of surfaces, Lectures at Columbia University (1985), unpublished. 
20. [Mo4] S. Mori, Flip theorem and the existence of minimal models for 3-folds, Journal AMS1 (1988), 117-253. Zbl0649.14023MR924704
21. [MS] D. Morrison and G. Stevens, Terminal quotient singularities in dimension three and four, Proc. AMS90 (1984), 15-20. Zbl0536.14003MR722406
22. [P] T. Peternell, Rational curves on Moishezon threefolds, in "Complex Analysis and Algebraic Geometry," Springer LN. 1194, 1986, pp. 133-144. Zbl0602.14039MR855881
23. [R1] M. Reid, Canonical Threefolds, in "Géometrie Algébrique Angers," A. Beauville ed., Sijthoff & Noordhoff, 1980, pp. 273-310. Zbl0451.14014MR605348
24. [R2] M. Reid, Projective morphisms according to Kawamata, preprint, Univ. of Warwick (1983). MR717617
25. [R3] M. Reid, Minimal models of canonical threefolds, in "Algebraic Varieties and Analytic Varieties," Adv. Stud. Pure Math. vol 1. S. Iitaka ed., Kinokuniya and North-Holland, 1983, pp. 131-180. Zbl0558.14028MR715649
26. [S1] V.V. Shokurov, letter to M. Reid (1985). 
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28. [T] S. Tsunoda, Degenerations of Surfaces, in "Algebraic Geometry, Sendai," Adv. Stud. Pure Math. vol 10. T. Oda ed., Kinokuniya - North-Holland, 1987, pp. 755-764. Zbl0682.14007MR946256