代数幾何学セミナー


2019/1/7(Mon)

10:30--12:00 理学部 b342/344/346 セミナー室

Weichung Chen

東京大学

Boundedness of weak Fano pairs with alpha-invariants and volumes bounded below

We show that fixed dimensional klt weak Fano pairs with alpha- invariants and volumes bounded away from 0 and the coefficients of the boundaries belong to a fixed DCC set of rational closure form a bounded family. We also show α(X, B)^(d−1)vol(−(K_X + B)) are bounded from above for all klt weak Fano pairs (X, B) of a fixed dimension d.