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A. Laface

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Preprint Aug 2026

Fujita freeness for projectivized toric vector bundles

Let $X$ be a smooth projective toric variety of dimension $n\geq1$ over an algebraically closed field of characteristic zero, let $\mathcal E$ be a toric vector bundle of rank $r\geq2$, and let $\pi\colon Y=\mathbb P_X(\mathcal E)\to X$ be the projective bundle of one-dimensional quotients. Write an ample line bundle o...

A. Laface · 0 citations

Preprint Sep 2026

Semiampleness on Jacobian elliptic surfaces of Kodaira dimension one

Let $\pi: X\to \mathbb P^1$ be a semistable Jacobian elliptic surface over $\mathbb C$, and set $\chi=\chi(\mathcal O_X)\ge3$, so that $\kappa(X)=1$. Assume that the Mordell-Weil group of $\pi$ is finite and that $\pi$ has at least one reducible fiber, the reducible fibers being of types $I_{n_1},\cdots, I_{n_s}$. Rece...

A. Laface, Si-Chen Li · 1 citation · ⚡1