19 citations · 88 across the 27 of their papers we have counts for
31 papers
Perazzo -folds and the weak Lefschetz property
Emilia Mezzetti, Rosa M. Miró-Roig
In this paper, we determine the maximum and the minimum of the Hilbert vectors of Perazzo algebras , where is a Perazzo polynomial of degree in $n+…
Hilbert functions and Jordan type of Perazzo Artinian algebras
Nancy Abdallah, Nasrin Altafi, Pietro De Poi +6
We study Hilbert functions, Lefschetz properties, and Jordan type of Artinian Gorenstein algebras associated to Perazzo hypersurfaces in projective space. The main focus lies on Pe…
Perazzo 3-folds and the weak Lefschetz property
Luca Fiorindo, Emilia Mezzetti, Rosa M. Miró-Roig
We deal with Perazzo 3-folds in , i.e. hypersurfaces of degree defined by a homogeneous polynomial $f(x_0,x_1,x_2,u,v)=p_0(u,v)x_0+p_1(…
Pencils of singular quadrics of constant rank and their orbits
Ada Boralevi, Emilia Mezzetti
We give a geometric description of singular pencils of quadrics of constant rank, relating them to the splitting type of some naturally associated vector bundles on .…
Togliatti systems associated to the dihedral group and the weak Lefschetz property
Liena Colarte-Gómez, Emilia Mezzetti, Rosa M. Miró-Roig +1
In this note, we study Togliatti systems generated by invariants of the dihedral group acting on . This leads to the first family of non monomial Tog…
On the arithmetic Cohen-Macaulayness of varieties parameterized by Togliatti systems
Liena Colarte-Gómez, Emilia Mezzetti, Rosa M. Miró-Roig
Given any diagonal cyclic subgroup of order , let be the ideal generated by all monomials of degre…