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On structures and discrepancies of klt Calabi--Yau pairs

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arxiv 2405.13321 v2 pith:BJWXJTFJ submitted 2024-05-22 math.AG

Junpeng Jiao This is my paper · ORCID
classification math.AG
keywords calabi--yaudiscrepanciespairsstructuresboundedcenterscorollarydimension
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We study the structures of klt Calabi--Yau pairs. We show that the discrepancies of log centers of all klt Calabi--Yau varieties with fixed dimension are in a finite set. As a corollary, we show that the index of 4-dimensional non-canonical Calabi--Yau variety is bounded.

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  1. On the boundedness of elliptic Calabi-Yau 4-folds

    math.AG 2026-07 accept novelty 6.0 of 10

    Elliptic Calabi–Yau 4-folds not crepant to a product quotient of a Calabi–Yau 3-fold times an elliptic curve form a bounded family.

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