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19932024
most citedDifferential-geometric methods for the lifting problem and linear systems on plane curves

19 citations · 88 across the 27 of their papers we have counts for

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25 papers · 1 filter

math.AG2022

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(…

math.AG2022

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 .…

math.AG2021

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…

math.AG2020★ 12 cited

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…

math.AG2020

Quadric surfaces in the Pfaffian hypersurface in

Ada Boralevi, Maria Lucia Fania, Emilia Mezzetti

We study smooth quadric surfaces in the Pfaffian hypersurface in parameterising skew-symmetric matrices of rank at most 4, not intersecting the Grass…

math.AG2018

On the Coefficients of the Permanent and the Determinant of a Circulant Matrix. Applications

Liena Colarte, Emilia Mezzetti, Rosa Maria Miró-Roig +1

Let (resp. ) be the number of summands in the determinant (resp. permanent) of an circulant matrix given by where $i +…