Abstract
We prove that the finite generation of adjoint rings implies all the foundational results of the Minimal Model Program: the Rationality, Cone and Contraction theorems, the existence of flips, and termination of flips with scaling in the presence of a big boundary.
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Acknowledgments
We would like to thank P. Cascini, F. Catanese, S. Coughlan, O. Fujino, A.-S. Kaloghiros, K. Matsuki and M. Mustaţă for many useful conversations and comments. We are grateful to the referee for many useful suggestions.
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Corti, A., Lazić, V. New outlook on the Minimal Model Program, II. Math. Ann. 356, 617–633 (2013). https://doi.org/10.1007/s00208-012-0858-1
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DOI: https://doi.org/10.1007/s00208-012-0858-1