31 citations · 69 across the 24 of their papers we have counts for
26 papers
Betti numbers for connected sums of graded Gorenstein artinian algebras
Nasrin Altafi, Roberta Di Gennaro, Federico Galetto +5
The connected sum construction, which takes as input Gorenstein rings and produces new Gorenstein rings, can be considered as an algebraic analogue for the topological construction…
Matrices of linear forms of constant rank from vector bundles on projective spaces
Laurent Manivel, Rosa Miro-Roig
We consider the problem of constructing matrices of linear forms of constant rank by focusing on the associated vector bundles on projective spaces. Important examples are given by…
Jacobian schemes of conic-line arrangements and eigenschemes
Valentina Beorchia, Rosa M. Miro'-Roig
The Jacobian scheme of a reduced, singular projective plane curve is the zero-dimensional scheme, whose homogeneous ideal is generated by the partials of its defining polynomial. T…
Klyachko diagrams of monomial ideals
Rosa M. Miró-Roig, Martí Salat-Moltó
In this paper, we introduce the notion of a Klyachko diagram for a monomial ideal in a certain multi-graded polynomial ring, namely the Cox ring of a smooth complete toric…
The weak Lefschetz property for Artinian Gorenstein algebras of codimension three
Rosa Maria Miró-Roig, Quang Hoa Tran
We study the weak Lefschetz property of a class of graded Artinian Gorenstein algebras of codimension three associated in a natural way to the Apéry set of a numerical semigroup ge…
Theta divisors and Ulrich bundles on Geometrically ruled surfaces
M. Aprodu, G. Casnati, L. Costa +2
We consider the following question: for which invariants and is there a geometrically ruled surface over a curve of genus with invariant such…