arXiv subjects

Fulin Xu

Publications and source records attributed to Fulin Xu.

3 recordsLinked to original sources

arXiv2026

On the boundedness of elliptic Calabi-Yau 4-folds

In this work, we settle the boundedness of a vast class of elliptic Calabi-Yau 4-folds. In particular, we show that any elliptic Calabi-Yau 4-fold that is not crepant to the quotient of a product $Y \times E$, where $E$ is an elliptic curve and $Y$ a Calabi-Yau 3-fold, belongs to finitely many algebraic families. In particular, the statement applies whenever the elliptic fibration of the Calabi-Yau 4-fold is not isotrivial. We also provide partial evidence for the boundedness of the middle Betti number of Calabi-Yau 3-folds and study the index of fibered $K$-trivial 4-folds.

math.AG↗

arXiv2025

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

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 $Aut(X,\Delta)$.

math.AG↗

arXiv2024

On the cone conjecture for certain pairs of dimension at most 4

In this paper, by running MMP and considering the anti-canonical fibration, we prove the Morrison-Kawamata cone conjecture for klt Calabi-Yau pairs $(X,\Delta)$ such that $\dim X$ is at most $4$, and the Iitaka dimension $\kappa(X,-K_X)$ is at least $\dim X - 2$.

math.AG↗