@incollection{SB_1988-1989__31__303_0, author = {Koll\'ar, J\'anos}, title = {Minimal models of algebraic threefolds : Mori's program}, booktitle = {S\'eminaire Bourbaki : volume 1988/89, expos\'es 700-714}, author = {Collectif}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {177-178}, year = {1989}, note = {talk:712}, pages = {303-326}, zbl = {0711.14008}, mrnumber = {1040578}, language = {en}, url = {http://www.numdam.org/item/SB_1988-1989__31__303_0} }

Kollár, János. Minimal models of algebraic threefolds : Mori's program, inSéminaire Bourbaki : volume 1988/89, exposés 700-714, Astérisque, no. 177-178 (1989), Talk no. 712, pp. 303-326. http://www.numdam.org/item/SB_1988-1989__31__303_0/

Higher Dimensional Complex Geometry," Asterisque 166, 1988 This booklet contains the simplest known proofs of (2.9) and (4.10). It also contains a lot of background material.. | MR 1004926 | Zbl 0689.14016

, and , "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. | MR 946243 | Zbl 0672.14006

, and ,The structure of algebraic threefolds - an introduction to Mori's program, Bull. AMS 17 (1987), 211-273. A leisurely introduction, aimed at all mathematicians. | MR 903730 | Zbl 0649.14022

,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. | MR 927963 | Zbl 0634.14003

,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. | MR 865038 | Zbl 0612.14033

,[B] Sur l'anneau canonique de certaines variétés de dimension 3, Inv. Math. 73 (1983), 157-164. | MR 707354 | Zbl 0539.14025

,[D] The geometry of toric varieties, Russian Math. Surveys 33 (1978), 97-154. | MR 495499 | Zbl 0425.14013

,[F] Zariski decomposition and canonical rings of elliptic threefolds, J. Math. Soc. Japan 38 (1986), 19-37. | MR 816221 | Zbl 0627.14031

,[Ka1] On the finiteness of generators of the pluri-canonical ring for a threefold of general type, Amer. J. Math. 106 (1984), 1503-1512. | MR 765589 | Zbl 0587.14027

,[Ka2] The cone of curves of algebraic varieties, Ann. of Math. 119 (1984), 603-633. | MR 744865 | Zbl 0544.14009

,[Ka3] The crepant blowing-up of 3-dimensional canonical singularities and its application to the degeneration of surfaces, Ann. of Math 127 (1988), 93-163. | MR 924674 | Zbl 0651.14005

,[Ko1] The Cone Theorem, Ann. of Math. 120 (1984), 1-5. | MR 750714 | Zbl 0544.14010

,[KM]

and , soon to be written up.[KSB] Threefolds and deformations of surface singularities, Inv. Math. 91 (1988), 299-338. | MR 922803 | Zbl 0642.14008

and ,[Mi] On the Kodaira dimension of minimal threefolds, Math. Ann. 281 (1988), 325-332. | MR 949837 | Zbl 0625.14023

,[MM] A numerical criterion of uniruledness, Ann. of Math 124 (1986), 65-69. | MR 847952 | Zbl 0606.14030

and ,[Mol] Threefolds whose canonical bundles are not numerically effective, Ann. of Math. 116 (1982), 133-176.. | MR 662120 | Zbl 0557.14021

,[Mo2] On 3-dimensional terminal singularities, Nagoya Math. J. 98 (1985), 43-66. | MR 792770 | Zbl 0589.14005

,[Mo3] Minimal models for semistable degenerations of surfaces, Lectures at Columbia University (1985), unpublished.

,[Mo4] Flip theorem and the existence of minimal models for 3-folds, Journal AMS 1 (1988), 117-253. | MR 924704 | Zbl 0649.14023

,[MS] Terminal quotient singularities in dimension three and four, Proc. AMS 90 (1984), 15-20. | MR 722406 | Zbl 0536.14003

and ,[P] Rational curves on Moishezon threefolds, in "Complex Analysis and Algebraic Geometry," Springer LN. 1194, 1986, pp. 133-144. | MR 855881 | Zbl 0602.14039

,[R1] Canonical Threefolds, in "Géometrie Algébrique Angers," A. Beauville ed., Sijthoff & Noordhoff, 1980, pp. 273-310. | MR 605348 | Zbl 0451.14014

,[R2] Projective morphisms according to Kawamata, preprint, Univ. of Warwick (1983). | MR 717617

,[R3] 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. | MR 715649 | Zbl 0558.14028

,[S1] letter to M. Reid (1985).

,[S2] Theorem on nonvanishing, Math. USSR Izv. 26 (1986), 591-604. | Zbl 0605.14006

,[T] Degenerations of Surfaces, in "Algebraic Geometry, Sendai," Adv. Stud. Pure Math. vol 10. T. Oda ed., Kinokuniya - North-Holland, 1987, pp. 755-764. | MR 946256 | Zbl 0682.14007

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