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Introduction to the minimal model problem. (English) Zbl 0672.14006
Algebraic geometry, Proc. Symp., Sendai/Jap. 1985, Adv. Stud. Pure Math. 10, 283-360 (1987).
[For the entire collection see Zbl 0628.00007.]
This paper is a complete survey on the theory of minimal models for $$n$$-dimensional varieties: the main tools and the recent results are described and the open problems are stated. A particular attention is paid to the “flip conjecture”, which turns out to be a crucial step in order to give a classification for $$n$$-dimensional varieties.
This paper is also supplied with useful and complete references on this subject.
Reviewer: L.Picco Botta

##### MSC:
 14E30 Minimal model program (Mori theory, extremal rays) 14J30 $$3$$-folds
##### Keywords:
theory of minimal models; flip conjecture