Room 515, Cosmology Building, National Taiwan University + Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Zoom)
Ascending Chain Condition for Minimal Log Discrepancies for Bounded Generalized Pairs
Weichung Chen (University of Tokyo)
Abstract
Minimal log discrepancy (mld) is an invariant of variety or log pair singularities that measures how singular they are. The ascending chain condition (acc) for mlds of singularities of a fixed dimension is conjectured to hold by Shokurov. On the other hand, generalized pairs play an important role in Birkar's proof of the Borisov-Alexeev-Borisov conjecture (BBAB theorem), which says that Fano varieties of a fixed dimension with a fixed lower bound of mlds form a bounded family. We show that the ACC conjecture holds for bounded families of generalized pairs. Applying BBAB theorem, we show that the ACC conjecture holds for generalized Fano pair.
Link Information
Zoom ID:838 7836 1163
Passcode：714285
Organizer:Hsueh-Yung Lin (NTU)
