Seminar on Geometric Complex Analysis

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Date, time & place Monday 10:30 - 12:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Kengo Hirachi, Shigeharu Takayama

2019/01/28

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Kentaro Ohno (University of Tokyo)
Minimizing CM degree and slope stability of projective varieties (JAPANESE)
[ Abstract ]
Chow-Mumford (CM) line bundle is considered to play an important role in moduli problem for K-stable Fano varieties. In this talk, we consider a minimization problem of the degree of the CM line bundle among all possible fillings of a polarized family over a punctured curve. We show that such minimization implies the slope semistability of the fiber if the central fiber is smooth.