Abstract
Under the assumption of the minimal model theory for projective klt pairs of dimension n, we establish the minimal model theory for lc pairs
Funding source: Japan Society for the Promotion of Science
Award Identifier / Grant number: JP16J05875
Award Identifier / Grant number: JP19J00046
Funding statement: The first author was partially supported by JSPS KAKENHI Grant Number JP16J05875 and JP19J00046.
Acknowledgements
Part of the work was done while the first author was visiting University of Cambridge in October–November 2018. The first author thanks staffs of the university, Professor Caucher Birkar, Dr. Roberto Svaldi, and Dr. Yanning Xu for their hospitality. He thanks audience of Algebraic Geometry Seminar in the University of Tokyo, and he thanks Dr. Kenta Sato for discussion on the proof of Lemma 2.10. Part of the work was done when the second author was visiting CMS, Zhejiang University. He would like to thank Professor Kefeng Liu and Professor Hongwei Xu. The authors are grateful to Professors Hiromu Tanaka and Shinnosuke Okawa for advice and answering questions about Theorem 1.6. They thank Professor Osamu Fujino for reading the manuscript and giving comments. They thank the referee for reading the draft carefully and a lot of suggestion.
References
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