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20172025
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math.AG2025

On Ulrich bundles on some decomposable threefold scrolls over

Maria Lucia Fania, Flaminio Flamini, Francesco Malaspina +1

The study of Ulrich bundles provides profound insights into the underlying geometry and derived categories of projective varieties supporting them, yet their existence and modular…

math.AG2023

't Hooft bundles on the complete flag threefold and moduli spaces of instantons

Vincenzo Antonelli, Francesco Malaspina, Simone Marchesi +1

In this work we study the moduli spaces of instanton bundles on the flag twistor space . We stratify them in terms of the minimal twist supporting global sections and…

math.AG2018

Ulrich bundles on three dimensional scrolls

Maria Lucia Fania, Margherita Lelli-Chiesa, Joan Pons-Llopis

In this paper we construct Ulrich bundles of low rank on three-dimensional scrolls (with respect to the tautological line bundle). We pay special attention to the four types of thr…

math.AG2018

aCM vector bundles on projective surfaces of nonnegative Kodaira dimension

Edoardo Ballico, Sukmoon Huh, Joan Pons-Llopis

In this paper we contribute to the construction of families of arithmetically Cohen-Macaulay (aCM) indecomposable vector bundles on a wide range of polarized surfaces $(X,\Oo_X(1))…

math.AG2017

Ulrich bundles on smooth projective varieties of minimal degree

Marian Aprodu, Sukmoon Huh, Francesco Malaspina +1

We classify the Ulrich vector bundles of arbitrary rank on smooth projective varieties of minimal degree. In the process, we prove the stability of the sheaves of relative differen…