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Relative Nakayama-Zariski Decomposition and Minimal Models of Generalized Pairs

Jihao Liu Lingyao Xie

北京数学杂志(英文)2025,Vol.8Issue(2):299-349,51.
北京数学杂志(英文)2025,Vol.8Issue(2):299-349,51.DOI:10.1007/s42543-023-00076-2

Relative Nakayama-Zariski Decomposition and Minimal Models of Generalized Pairs

Relative Nakayama-Zariski Decomposition and Minimal Models of Generalized Pairs

Jihao Liu 1Lingyao Xie2

作者信息

  • 1. Department of Mathematics,Northwestern University,2033 Sheridan Rd,Evanston,IL 60208,USA
  • 2. Department of Mathematics,The University of Utah,Salt Lake City,UT 84112,USA
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摘要

关键词

Generalized pairs/Nakayama-Zariski decomposition/Minimal models

Key words

Generalized pairs/Nakayama-Zariski decomposition/Minimal models

引用本文复制引用

Jihao Liu,Lingyao Xie..Relative Nakayama-Zariski Decomposition and Minimal Models of Generalized Pairs[J].北京数学杂志(英文),2025,8(2):299-349,51.

基金项目

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 Foundation ()

Award Number:256202. ()

北京数学杂志(英文)

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