A. Lopez

collaborators

Showing math.AGShow all

6 papers · 1 filter

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…

math.AG2025

A lower bound on the Ulrich complexity of hypersurfaces

Angelo Felice Lopez, Debaditya Raychaudhury

We give a lower bound on the Ulrich complexity of hypersurfaces of dimension $n \geq 6$ . The bound improves the result in [BES] for $n \leq 78$ .

math.AG2024

Non-existence of low rank Ulrich bundles on Veronese varieties

Angelo Felice Lopez, Debaditya Raychaudhury

We show that Veronese varieties of dimension $n \geq 4$ do not carry any Ulrich bundles of rank $r \leq 3$ . In order to prove this, we prove that a Veronese embedding of a complete i…

math.AG2024

Ulrich subvarieties and the non-existence of low rank Ulrich bundles on complete intersections

Angelo Felice Lopez, Debaditya Raychaudhury

We characterize the existence of an Ulrich vector bundle on a variety $X \subset P^{N}$ in terms of the existence of a subvariety satisfying some precise conditions. Then we use this…

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

A lower bound on the Ulrich complexity of hypersurfaces

Non-existence of low rank Ulrich bundles on Veronese varieties

Ulrich subvarieties and the non-existence of low rank Ulrich bundles on complete intersections

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