On the Termination of Flips for Log Canonical Generalized Pairs

We prove the termination of flips for pseudo-effective NQC log canonical generalized pairs of dimension 4. As main ingredients, we verify the termination of flips for 3-dimensional NQC log canonical generalized pairs, and show that the termination of flips for pseudo-effective NQC log canonical gene...

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 39; no. 6; pp. 967 - 994
Main Authors Chen, Guo Du, Tsakanikas, Nikolaos
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2023
Springer Nature B.V
Subjects
Decomposition
Dimensions
Mathematical analysis
Mathematics
Mathematics and Statistics
weak Zariski decompositions
Minimal Model Program
14E30
termination of flips
generalized pairs
special termination
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Summary:We prove the termination of flips for pseudo-effective NQC log canonical generalized pairs of dimension 4. As main ingredients, we verify the termination of flips for 3-dimensional NQC log canonical generalized pairs, and show that the termination of flips for pseudo-effective NQC log canonical generalized pairs which admit NQC weak Zariski decompositions follows from the termination of flips in lower dimensions.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-023-0116-3