Bingyi Chen

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math.AG2024

Singularities on vertical $ε$ -log canonical Fano fibrations

Caucher Birkar, Bingyi Chen

Given a Fano type log Calabi-Yau fibration $(X, B) \to Z$ with $(X, B)$ being $ε$ -lc, the first author in \cite{Bi23} proved that the generalised pair $(Z, B_{Z} + M_{Z})$ given by the canon…

math.AG2023

Vanishing theorems for generalized pairs

Bingyi Chen, Jihao Liu, Lingyao Xie

We establish the Kodaira vanishing theorem and the Kawamata-Viehweg vanishing theorem for lc generalized pairs. As a consequence, we provide a new proof of the base-point-freeness…

Singularities on vertical ε-log canonical Fano fibrations

Vanishing theorems for generalized pairs

Singularities on vertical $ε$ -log canonical Fano fibrations