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On finiteness of fiber space structures of klt Calabi-Yau pairs in dimension 3

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arxiv 2501.10239 v1 pith:C5QZ66PI submitted 2025-01-17 math.AG

Fulin Xu This is my paper · ORCID
classification math.AG
keywords calabi-yaudeltadimensionfiberspacestructuresfinitefiniteness
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abstract

We prove that for a fixed klt Calabi-Yau pair $(X,\Delta)$ of dimension $3$, the set of fiber space structures of $X$ is finite up to $Aut(X,\Delta)$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

  2. On the finiteness of log surfaces

    math.AG 2025-10 conditional novelty 4.0 of 10

    A log surface has finitely many weakly log canonical klt models, but this paper's main new contribution is a method reducing that finiteness to boundedness of polarizations.

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