One of many major achievements of algebraic geometry over the last 20 years is the paintings of Mori and others extending minimum types and the Enriques-Kodaira class to 3-folds. This built-in suite of papers facilities round functions of Mori concept to birational geometry. 4 of the papers (those via Pukhlikov, Fletcher, Corti, and the lengthy joint paper by means of Corti, Pukhlikov and Reid) figure out intimately the idea of birational stress of Fano 3-folds. those contributions paintings for the 1st time with a consultant category of Fano types, 3-fold hypersurfaces in weighted projective house, and so they contain an enticing introductory therapy with a wealth of targeted computation of unique circumstances.
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