Non-accumulation conjecture for minimal log discrepancies of rationally connected Calabi–Yau varieties

Let dd be a positive integer. Consider the minimal log discrepancies of all normal projective Calabi–Yau rationally connected varieties of dimension dd. Minimal-log-discrepancy non-accumulation conjecture. The number 11 is not an accumulation point from below of this set. The source later records several low-dimensional boundedness results but does not state a general resolution of this non-accumulation claim.

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Primary source

Guodu Chen and Chuyu Zhou, “On multiplicities of fibers of Fano fibrations”, arXiv:2208.10372 (2026).

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