ACC conjecture for log canonical thresholds of generalized pairs
ACC conjecture for log canonical thresholds of generalized pairs
Let be a positive integer and let be a DCC set. For a projective generalized pair of dimension , with and , let denote its log canonical threshold.
ACC conjecture for log canonical thresholds. The set
satisfies the ascending chain condition.
This conjecture asserts uniform ACC for log canonical thresholds in fixed dimension and with coefficients drawn from a DCC set, including nef parts of generalized pairs. The supplied text gives no resolution status or further evidence, so the conjecture is recorded as open.
Sources & referencesView supporting material
Primary source
Tianle Yang, Zelin Ye and Zhiyao Zhang, “Existence of minimal models for threefold generalized pairs in positive characteristic”, arXiv:2408.12269 (2026).
Additional references
19 papers in this index state this conjecture (1999–2024). The statement above is taken from the most recent of them; the others are arXiv:2305.06493, arXiv:2209.13122, arXiv:2207.04610, arXiv:2202.11346, arXiv:2112.09501, arXiv:1904.09642, arXiv:1903.04338, arXiv:1803.02539, arXiv:1501.06248, arXiv:1405.5649, arXiv:1104.4981, arXiv:0912.3186, and 6 more.
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