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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…
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…
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…
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…