Abstract
This chapter starts with characterizing in Section 8-1 the extremal contractions the key geometric operations in the process of the minimal model program, as what we call the contractions of extremal rays described in terms of the convex geometry of the cone of curves, thanks to the cone theorem of Chapter 7. Their existence is guaranteed by the base point freeness theorem of Chapter 6.
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© 2002 Springer Science+Business Media New York
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Matsuki, K. (2002). Contraction Theorem. In: Introduction to the Mori Program. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5602-9_9
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DOI: https://doi.org/10.1007/978-1-4757-5602-9_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3125-2
Online ISBN: 978-1-4757-5602-9
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