A. Lopez

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math.AG2026

A remark by Daniel Ferrand on bundles on Fano threefolds

Gianfranco Casnati, Angelo Felice Lopez

Let $X$ be a Fano threefold with index $i_{X}$ and fundamental line bundle $O_{X} (h)$ . We classify $I^¼$ -semistable rank two bundles $E$ on $X$ with $c_1(\mathcal E)=0…

math.AG2025

On the classification of non-big Ulrich vector bundles on fourfolds

Angelo Felice Lopez, Roberto MuÃ±oz, JosÃ© Carlos Sierra

We give an almost complete classification of non-big Ulrich vector bundles on fourfolds. This allows to classify them in the case of Picard rank one fourfolds, of Mukai fourfolds a…

math.AG2024

On varieties with Ulrich twisted conormal bundles

Vincenzo Antonelli, Gianfranco Casnati, Angelo Felice Lopez +1

We study varieties $X \subset P^{r}$ such that is $N_{X}^{*} (k)$ is an Ulrich vector bundle for some integer $k$ . We first prove that such an $X$ must be a curve. Then we give several ex…