R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Constructing Bounded Strong KLT Complements for Fano Pairs with α-invariants and Volumes Bounded Below
Wei-Chung Chen (University of Tokyo)
Abstract:
We show that fixed dimensional klt weak Fano pairs with alpha-invariants and volumes bounded away from
and the coefficients of the boundaries belong to a fixed DCC set admit strong
-lc complements for some fixed
. This is an application of Han-Lui-Shokurov's construction of bounded strong complements for lc weak Fano pairs.