13 citations · 59 across the 23 of their papers we have counts for
28 papers
Characterization of linear spaces of matrices of constant rank from syzygy bundles
Simone Marchesi, Rosa Maria Miró-Roig
In this work, we characterize matrices of linear forms and constant rank, demonstrating that, under some natural assumptions, they are always associated with a syzygy bundle that f…
Homemade Algebraic Geometry. Celebrating Enrique Arrondo's 60th birthday
Simone Marchesi, Alicia Tocino
In this survey we recognize Enrique Arrondo's contributions over the whole of its career, recalling his professional history and collecting the results of his mathematical producti…
Logarithmic Derivations of Adjoint Discriminants
Vladimiro Benedetti, Daniele Faenzi, Simone Marchesi
We exhibit a relationship between projective duality and the sheaf of logarithmic vector fields along a reduced divisor of projective space, in that the push-forward of the ide…
Lefschetz properties and the Jacobian algebra of 3-dimensional hyperplane arrangements
Simone Marchesi, Elisa Palezzato, Michele Torielli
In this article, we study the weak and strong Lefschetz of higher dimensional quotients and dimension 1 almost complete intersections. We then apply the obtained results to the stu…
'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…
Hypertetrahedral arrangements
Liena Colarte, Laura Costa, Simone Marchesi +2
In this paper, we introduce the notion of a complete hypertetrahedral arrangement in . We address two basic problems. First, we describe the local fre…
On stability of logarithmic tangent sheaves. Symmetric and generic determinants
Daniele Faenzi, Simone Marchesi
We prove stability of logarithmic tangent sheaves of singular hypersurfaces D of the projective space with constraints on the dimension and degree of the singularities of D. As mai…
On invariant rank two vector bundles on
Simone Marchesi, Jean Vallès
In this paper we characterize the rank two vector bundles on which are invariant under the actions of the parabolic subgroups …
Uniform Steiner bundles
Simone Marchesi, Rosa Maria Miró-Roig
In this work we study -type uniform Steiner bundles, being the lowest degree of the splitting. We prove sharp upper and lower bounds for the rank in the case and moreo…
Classification of the invariants of foliations by curves of low degree on the three-dimensional projective space
Maurício Corrêa, Marcos Jardim, Simone Marchesi
We study foliations by curves on the three-dimensional projective space with no isolated singularities, which is equivalent to assuming that the conormal sheaf is locally free. We…
Triangular arrangements on the projective plane
Simone Marchesi, Jean Vallès
In this work we study line arrangements consisting in lines passing through three non-aligned points. We call them triangular arrangements. We prove that any combinatorics of a tri…
On holomorphic distributions on Fano threefolds
Alana Cavalcante, Mauricio Corrêa, Simone Marchesi
This paper is devoted to the study of holomorphic distributions of dimension and codimension one on smooth weighted projective complete intersection Fano manifolds threedimensional…
Irreducibility of the moduli space of orthogonal instanton bundles on
Aline V. Andrade, Simone Marchesi, Rosa Maria Miró-Roig
In order to obtain existence criteria for orthogonal instanton bundles on , we provide a bijection between equivalence classes of orthogonal instanton bundles with no…
Monads on projective varieties
Simone Marchesi, Pedro Macias Marques, Helena Soares
We generalise Fløystad's theorem on the existence of monads on the projective space to a larger set of projective varieties. We consider a variety , a line bundle on , an…
A Horrocks' theorem for reflexive sheaves
Laura Costa, Simone Marchesi, Rosa Maria Miró-Roig
In this paper, we define -tail reflexive sheaves as reflexive sheaves on projective spaces with the simplest possible cohomology. We prove that the rank of any -tail reflexiv…
Nearly free curves and arrangements: a vector bundle point of view
Simone Marchesi, Jean Vallès
Many papers are devoted to study logarithmic sheaves associated to reduced divisors, in particular logarithmic bundles associated to plane curves since forty years in differential…
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…
Branes in the moduli space of framed instantons
Emilio Franco, Marcos Jardim, Simone Marchesi
In the physicist's language, a brane in a hyperkahler manifold is a submanifold which is either complex or lagrangian with respect to three Kahler structures of the ambient manif…
Curves with Canonical Models on Scrolls
Danielle Lara, Simone Marchesi, Renato Vidal Martins
Let be an integral and projective curve whose canonical model lies on a rational normal scroll of dimension . We mainly study some properties on , such as gonali…
Moduli of autodual instanton bundles
Marcos Jardim, Simone Marchesi, Anna Wißdorf
We provide a description of the moduli space of framed autodual instanton bundles on projective space, focusing on the particular cases of symplectic and orthogonal instantons. Our…
p-Buchsbaum rank 2 bundles on the projective space
Marcos Jardim, Simone Marchesi
It has been proved by various authors that a normalized, 1-Buchsbaum rank 2 vector bundle on P3 is a nullcorrelation bundle, while a normalized, 2-Buchsbaum rank 2 vector bundle on…
Simplicity and exceptionality of syzygy bundles over P^n
Simone Marchesi, Daniela Moura Prata
In this work we will prove results that ensure the simplicity and the exceptionality of vector bundles which are defined by the splitting of pure resolutions. We will call such obj…
Schwarzenberger bundles on smooth projective varieties
Enrique Arrondo, Simone Marchesi, Helena Soares
We define Schwarzenberger bundles on any smooth projective variety X. We introduce the notions of jumping pairs of a Steiner bundle E on X and determine a bound for the dimension o…