這一篇文章是關於 Shokurov 所提3維flip 之存在性證明,文章中將呈現一個清楚的證明排序。而這篇文章主要是從 Corti 的論文架構而起,我希望一個剛剛接觸 Minimal Model Program 的初學者,看了這一篇文章可以了解3維flips之存在性證明的關鍵想法,而且對於往後較深入的研究充滿興趣。 In this note, I attempt to offer a good-ordered and detailed explanation of Shokurov’s proof for the existence of 3-fold flips. For the most part, it is based on Corti’s paper. I hope that by reading this note, a beginner will catch the key idea of this proof easily and thus be interested in the latest development of Minimal Model Program.