Roberto Vacca

collaborators

5 papers

math.AG2026

On moduli spaces of vector bundles on $K 3^{[n]}$ -type IHS manifolds

NicolÃ² Bignami, Ludovica Buelli, Irene MacÃas TarrÃo +2

We study moduli spaces of modular vector bundles on projective irreducible holomorphic symplectic manifolds of $K 3^{[n]}$ -type. Under suitable numerical assumptions, we exhibit con…

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

On the connectedness of some degeneracy loci and of Ulrich subvarieties

Valerio Buttinelli, Angelo Felice Lopez, Roberto Vacca

We study connectedness of degeneracy loci $D_{r - k} (I ¨ )$ of morphisms $I ¨ : O_{X}^{\oplus (r + 1 - k)} \to E$ , where $E$ is a rank $r$ globally generated bundl…

math.AG2025

Rank $2$ aCM and Ulrich bundles on Fano and Calabi--Yau double coverings of $P^{3}$

Roberto Vacca

We prove existence of aCM and Ulrich sheaves respect to ample and globally generated polarisations on a class of special finite coverings $f : X \to P^{n}$ , which in particular…

math.AG2025

Ulrich bundles on double coverings of projective space

Roberto Vacca

Fixed a polarised variety $X$ , we can ask if it admits Ulrich bundles and, in case, what is their minimal possible rank. In this thesis, after recalling general properties of Ulric…

On moduli spaces of vector bundles on K3[n]-type IHS manifolds

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

On the connectedness of some degeneracy loci and of Ulrich subvarieties

Rank 2 aCM and Ulrich bundles on Fano and Calabi--Yau double coverings of P3

Ulrich bundles on double coverings of projective space

On moduli spaces of vector bundles on $K 3^{[n]}$ -type IHS manifolds

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

Rank $2$ aCM and Ulrich bundles on Fano and Calabi--Yau double coverings of $P^{3}$