A. Lopez

activity

20242026

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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…

math.AG2024

On partially ample Ulrich bundles

Angelo Felice Lopez, Debaditya Raychaudhury

We characterize $q$ -ample Ulrich bundles on a variety $X \subseteq P^{N}$ with respect to $(q + 1)$ -dimensional linear spaces contained in $X$ .