当前位置: X-MOL 学术Math. Res. Lett. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
On weak Zariski decompositions and termination of flips
Mathematical Research Letters ( IF 0.6 ) Pub Date : 2020-09-01 , DOI: 10.4310/mrl.2020.v27.n5.a6
Christopher Hacon 1 , Joaquín Moraga 1
Affiliation  

We prove that termination of lower dimensional flips for generalized $\operatorname{klt}$ pairs implies termination of flips for $\operatorname{log}$ canonical generalized pairs with a weak Zariski decomposition. Under the same hypothesis we prove that the existence of weak Zariski decompositions for pseudo-effective log canonical pairs implies the existence of weak Zariski decompositions for pseudo-effective generalized log canonical pairs. As an application, we prove the termination of any minimal model program for generalized log canonical pseudo-effective $4$‑folds.

中文翻译:

关于弱Zariski分解和翻转终止

我们证明,终止$ \ operatorname {klt} $对的低维翻转意味着通过弱Zariski分解终止$ \ operatorname {log} $规范化广义对的翻转。在相同的假设下,我们证明了伪有效对数典范对的弱Zariski分解的存在暗示了伪有效对数典范对的弱Zariski分解的存在。作为一个应用程序,我们证明了对通用对数规范伪有效$ 4 $折的所有最小模型程序的终止。
更新日期:2020-09-01
down
wechat
bug