4 papers
Minimal model program for algebraically integrable adjoint foliated structures
Paolo Cascini, Jingjun Han, Jihao Liu +4
For -factorial klt algebraically integrable adjoint foliated structures, we prove the cone theorem, the contraction theorem, and the existence of flips. Therefore, we de…
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…
ACC for generalized log canonical thresholds for complex analytic spaces
Christopher Hacon, Lingyao Xie
We show that generalized log canonical thresholds for complex analytic spaces satisfy the ACC and we characterize the accumulation points.
On the existence of flips for threefolds in mixed characteristic
Lingyao Xie, Qingyuan Xue
We provide a detailed proof of the validity of the Minimal Model Program for threefolds over excellent Dedekind separated schemes whose residue fields do not have characteristic 2…