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Towards birational classification of algebraic varieties. (English) Zbl 0612.14033
This paper is a complete and useful exposition of the recent results on classification theory for algebraic varieties. The methods used in the fundamental works of Mori, Kawamata, Reid and many others for varieties of dimension \(\geq 3\) are clearly explained in details, moreover the classical theorem of classification for surfaces is recovered from this point of view.
Reviewer: L.Picco Botta

MSC:
14J10 Families, moduli, classification: algebraic theory
14E05 Rational and birational maps
14J30 \(3\)-folds
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