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Flips for 3-folds and 4-folds. (English) Zbl 05175029
Oxford Lecture Series in Mathematics and its Applications 35. Oxford: Oxford University Press (ISBN 978-0-19-857061-5/hbk). vii, 189 p. (2007).
Preliminary review / Publisher’s description: This edited collection of chapters, authored by leading experts, provides a complete and essentially self-contained construction of 3-fold and 4-fold klt flips. A large part of the text is a digest of Shokurov’s work in the field and a concise, complete and pedagogical proof of the existence of 3-fold flips is presented. The text includes a ten page glossary and is accessible to students and researchers in algebraic geometry.

 14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry 14J30 $$3$$-folds 14J35 $$4$$-folds