A. Lopez

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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.AG2026

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

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…

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…

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

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

Non-existence of low rank Ulrich bundles on Veronese varieties

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