Nakayama-Zariski decomposition and the termination of flips

We show that for pseudoeffective projective pairs the termination of one sequence of flips implies the termination of all flips, assuming a natural conjecture on the behaviour of the Nakayama-Zariski decomposition under the operations of a Minimal Model Program.

Authors

Publication Details

Journal
Épijournal de Géométrie Algébrique
Published
2025-11-27
DOI
https://doi.org/10.46298/epiga.2025.13884
Citations
1
Primary Topic
Advanced Combinatorial Mathematics
Type
article
Field-Weighted Citation Impact
5.33

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article

Nakayama-Zariski decomposition and the termination of flips

Vladimir Lazić, Zhixin Xie
1 citations
Épijournal de Géométrie Algébrique
Advanced Combinatorial Mathematics
5.33
article

Nakayama-Zariski decomposition and the termination of flips

Vladimir Lazić, Zhixin Xie
article en
1 citations

Abstract

We show that for pseudoeffective projective pairs the termination of one sequence of flips implies the termination of all flips, assuming a natural conjecture on the behaviour of the Nakayama-Zariski decomposition under the operations of a Minimal Model Program.

Épijournal de Géométrie AlgébriqueVol. Volume 9
Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 4%
Advanced Combinatorial Mathematics
5.33
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Nakayama-Zariski decomposition and the termination of flips — Vladimir Lazić, Zhixin Xie · Épijournal de Géométrie Algébrique (2025) | TGRS Research Map | TGRS