Abstract
Let X be a smooth complex projective variety. The minimal model program aims to show that if K X is pseudo-effective (respectively if K X is not pseudo-effective), then there exists a finite sequence
of well-understood birational maps known as flips and divisorial contractions such that \( \bar X \) is a minimal model, i.e., \( K_{\bar X} \) is nef (respectively \( \bar X \) has the structure of a Mori fiber space, i.e., there is a morphism \( f:\bar X \to Z \) such that \( - K_{\bar X} \) is relatively ample over Z).
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(2010). Introduction. In: Classification of Higher Dimensional Algebraic Varieties. Oberwolfach Seminars, vol 41. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0290-7_4
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DOI: https://doi.org/10.1007/978-3-0346-0290-7_4
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0289-1
Online ISBN: 978-3-0346-0290-7
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