Liu's minimal mld conjecture for standard-coefficient Calabi-Yau pairs
Liu's minimal mld conjecture for standard-coefficient Calabi-Yau pairs
Let be a positive integer, and let be the explicitly constructed klt Calabi-Yau pair in dimension with standard coefficients, namely the pair defined by the source's displayed construction. Its minimal log discrepancy is
Liu's minimal mld conjecture. The number is the smallest possible minimal log discrepancy among all -dimensional klt Calabi-Yau pairs with standard coefficients.
The claim proposes that Liu's example is extremal for minimal log discrepancies in this class. The source gives no resolution status.
Sources & referencesView supporting material
Primary source
Louis Esser, Burt Totaro and Chengxi Wang, “Calabi-Yau varieties of large index”, arXiv:2209.04597 (2022).
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