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Nakayama-Zariski decomposition and the termination of flips

2023/05/02 by Vladimir Lazić, Zhixin Xie
Mathematics · Computer Science · #math.AG

paper · pdf · doi:10.46298/epiga.2025.13884

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.

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