Introduction Chapter O. Notation and preliminaries § 0-1. Kleiman's criterion for ampleness § 0-2. Definitions of terminal, canonical and (weak) log-terminal singularities § 0-3. Canonical varieties § 0-4. The minimal model conjecture Chapter 1. Vanishing theorems § 1-1. Covering Lemma § 1-2. Vanishing theorem of Kawamata and Viehweg § 1-3. Vanishing theorem of Elkik and Fujita Chapter 2. Non-Vanishing Theorem § 2-1. Non-Vanishing Theorem Chapter 3. Base Point Free Theorem § 3-1. Base Point Free Theorem § 3-2. Contractions of extremal faces § 3-3. Canonical rings of varieties of general type Chapter 4. Cone Theorem § 4-1. Rationality Theorem § 4-2. The proof of the Cone Theorem Chapter 5. Flip Conjecture § 5-1. Types of contractions of extremal rays § 5-2. Flips of toric morphisms

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