Algebraic Varieties: Minimal Models and Finite Generation - Hardcoverby Yujiro Kawamata (Author), Chen Jiang (Translator) The finite generation theorem is a major achievement in modern algebraic geometry. Based on the minimal model theory, it states that the canonical ring of an algebraic variety defined over a field of characteristic 0 is a finitely generated graded ring. This graduate level text is the first to explain this proof. It covers the progress on the minimal model theory over the last 30 years, culminating