This proof demonstrates the non-empty pluricanonical system in Calabi–Yau varieties, indicating relations to the Albanese map and natural invariants.
For a Calabi–Yau variety X, we prove that there exists a positive integer m, depending on two natural invariants of the fiber of its Albanese map, such that the pluricanonical system |mK X | is non-empty.
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Y. S. Zhu (2025) studied this question.