A. Lopez

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20242026

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math.AG2026

On the existence of smooth varieties of any dimension carrying no Ulrich bundles for some very ample line bundle

Angelo Felice Lopez

Using some recent examples of Anghel in dimension $2$ , we prove that for any $n \geq 3$ there exist many smooth $n$ -dimensional varieties $X$ with a very ample line bundle $H$ , such…

math.AG2026

A linear lower bound on the Ulrich complexity of hypersurfaces

Angelo Felice Lopez, Debaditya Raychaudhury, Yuta Takahashi

We give a lower bound on the Ulrich complexity of hypersurfaces in terms of their dimension.

math.AG2026

Ulrich bundles with $c_{2} (E)^{2} = 0$ and connectedness of Ulrich subvarieties

Valerio Buttinelli, Angelo Felice Lopez, Roberto Vacca

We give an almost complete classification of Ulrich bundles $E$ with $c_{2} (E)^{2} = 0$ on a variety $X$ of dimension $n \geq 4$ . Moreover, we show that there are strong…

On the existence of smooth varieties of any dimension carrying no Ulrich bundles for some very ample line bundle

A linear lower bound on the Ulrich complexity of hypersurfaces

Ulrich bundles with c2​(E)2=0 and connectedness of Ulrich subvarieties

Ulrich bundles with $c_{2} (E)^{2} = 0$ and connectedness of Ulrich subvarieties