26 citations · 45 across the 6 of their papers we have counts for
11 papers
Ulrich Bundles on decomposable threefold scrolls over
Maria Lucia Fania, Flaminio Flamini, Francesco Malaspina +1
Ulrich bundles provide profound insights into the underlying geometry and derived categories of projective varieties supporting them, yet their existence and modular properties rem…
'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…
Generalized logarithmic sheaf on smooth projective surfaces
Sukmoon Huh, Simone Marchesi, Joan Pons-Llopis +1
We define the notion of generalized logarithmic sheaves on a smooth projective surface, associated to a pair consisting of a reduced curve and some fixed points on it. We then set…
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…
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))…
Instanton bundles on the flag variety F(0,1,2)
Francesco Malaspina, Simone Marchesi, Joan Pons-Llopis
Instanton bundles on have been at the core of the research in Algebraic Geometry during the last thirty years. Motivated by the recent extension of their definition…
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…
ACM sheaves on the double plane
Edoardo Ballico, Sukmoon Huh, Francesco Malaspina +1
The goal of this paper is to start a study of aCM and Ulrich sheaves on non-integral projective varieties. We show that any aCM vector bundle of rank two on the double plane is a d…
ACM sheaves of pure rank two on reducible hyperquadrics
Edoardo Ballico, Sukmoon Huh, Joan Pons-Llopis
We classify a special type of arithmetically Cohen-Macaulay sheaves of rank two on reducible and reduced quadric hypersurfaces. As a consequence we show that a reducible and reduce…
The Cohen-Macaulay representation type of arithmetically Cohen-Macaulay varieties
Daniele Faenzi, Joan Pons-Llopis
We show that all reduced closed subschemes of projective space that have a Cohen-Macaulay graded coordinate ring are of wild Cohen-Macaulay type, except for a few cases which we co…
ACM bundles on del Pezzo surfaces
Joan Pons-Llopis, Fabio Tonini
ACM rank 1 bundles on del Pezzo surfaces are classified in terms of the rational normal curves that they contain. A complete list of ACM line bundles is provided. Moreover, for any…