Relative Nakayama-Zariski Decomposition and Minimal Models of Generalized PairsOA
Relative Nakayama-Zariski Decomposition and Minimal Models of Generalized Pairs
Jihao Liu;Lingyao Xie
Department of Mathematics,Northwestern University,2033 Sheridan Rd,Evanston,IL 60208,USADepartment of Mathematics,The University of Utah,Salt Lake City,UT 84112,USA
Generalized pairsNakayama-Zariski decompositionMinimal models
Generalized pairsNakayama-Zariski decompositionMinimal models
《北京数学杂志（英文）》 2025 (2)
299-349,51
The authors would like to thank Christopher D.Hacon,Jingjun Han,Junpeng Jiao,Vladimir Lazić,Yuchen Liu,Yujie Luo,Fanjun Meng,Nikolas Tsakanikas,and Qingyuan Xue for useful discussions.The authors would like to thank Kenta Hashizume for useful comments on an earlier manuscript of this paper.Part of the work is done during the visit of the Jihao Liu to the University of Utah in March and April 2022,and the Jihao Liu would like to thank their hospitality.Lingyao Xie is partially supported by NSF research grants no:DMS-1801851,DMS-1952522 and by a grant from the Simons FoundationAward Number:256202.
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