Nakayama-Zariski decomposition and the termination of flips
Algebraic Geometry
2026-05-27 v4
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.
Keywords
Cite
@article{arxiv.2305.01752,
title = {Nakayama-Zariski decomposition and the termination of flips},
author = {Vladimir Lazić and Zhixin Xie},
journal= {arXiv preprint arXiv:2305.01752},
year = {2026}
}