Speaker: Tsz On Mario Chan (NCTS)
Title: An Extension Theorem for LC Pairs
Abstract: As shown in the work of Demailly--Hacon--Pu aun, the conjectural nonvanishing
theorem and extension theorem for semi-log-canonical (or even semi-dlt) pairs
imply the existence of good minimal models for klt pairs. The extension theorem for plt
pairs is also shown to hold true in the same work. The extension theorem for the dlt case
with a stronger assumption is then proved by Gongyo and Matsumura.
In this talk, a proof of the extension theorem for (semi-)log-canonical pairs is presented.
The proof follows the lines in the proof of Demailly--Hacon--Pu aun and makes use of the
techniques in the latest -extension theorem of Demailly.This is a joint work with
Young-Jun Choi in Greonoble.
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