Introduction to the minimal model problem. (English) Zbl 0672.14006

Kawamata, Yujiro; Matsuda, Katsumi; Matsuki, Kenji

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

Citations:

Zbl 0628.00007