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Dano Kim, Canonical Bundle Formula and Degenerating Families of Volume Forms
June 16 @ 4:00 pm - 5:00 pm KST
We will talk about a metric version of Kawamata’s canonical bundle formula for log Calabi-Yau fibrations: the L2 metric carries singularity described by the discriminant divisor and the moduli part line bundle has a singular hermitian metric with vanishing Lelong numbers. This answers a folklore conjecture arising from work of Kawamata and Tsuji and a question of Eriksson, Freixas i Montplet and Mourougane. It has immediate applications to L2 extension theorems which was our starting point.