Shokurov introduced the theory of complements while he investigated log flips of threefold. The theory is further developed by Prokhorov-Shokurov and Birkar. As one of key steps in the proof of BAB conjecture, Birkar showed a conjecture of Shokurov, i.e., the existence of n-complements for Fano varieties with pairs of hyperstandard coefficients. In this talk, I will show a more general version of his result. This is a joint work with Jihao Liu and Shokurov. 

海报