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

Fulin Xu · 2025 · math.AG · DOI 10.48550/arxiv.2501.10239 · arXiv 2501.10239

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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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2026 1

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  • On the boundedness of elliptic Calabi-Yau 4-folds math.AG · 2026-07-29 · accept · none · ref 63 · internal anchor

    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.