MathDBTermination of flips for compact Kähler gklt pairs
Termination of flips for compact Kähler gklt pairs
Let be a compact Kähler gklt pair. A sequence of flips is a sequence of flips for this generalized pair.
Termination of flips. Any sequence of flips is finite.
Termination would imply the existence of log terminal models in the stated Kähler gklt setting, since the minimal model program can be run for compact Kähler dlt pairs with scaling. Termination remains open here.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Sources & referencesView supporting material
Primary source
Christopher Hacon and Lingyao Xie, “On the Kähler MMP and the transcendental base-point-free theorem”, arXiv:2607.24986 (2026).
Additional references
18 papers in this index state this conjecture (2004–2026). The statement above is taken from the most recent of them; the others are arXiv:2501.07551, arXiv:2311.08750, arXiv:2112.09501, arXiv:2011.02236, arXiv:1806.01234, arXiv:1801.00013, arXiv:1405.7773, arXiv:1302.4015, arXiv:1210.2670, arXiv:0907.1506, arXiv:0811.1047, arXiv:0807.2294, and 5 more.
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