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20202024
most citedOn the arithmetic Cohen-Macaulayness of varieties parameterized by Togliatti systems

12 citations · 12 across the 4 of their papers we have counts for

collaborators

5 papers

math.AG2024

Symmetric rank of some reducible forms

Liena Colarte-Gómez, Francesco Galuppi

In this paper, we study the symmetric rank of products of linear forms and an irreducible quadratic form. The main result presents a new, non-trivial lower bound for the rank, and…

math.AG2023

Monomial projections of Veronese varieties: new results and conjectures

Liena Colarte-Gómez, Rosa M. Miró-Roig, Lisa Nicklasson

In this paper, we consider the homogeneous coordinate rings of monomial projections of Veronese varieties parameterized by subsets…

math.AG2021

The canonical module of GT-varieties and the normal bundle of RL-varieties

Liena Colarte-Gómez, Rosa M. Miró-Roig

In this paper, we study the geometry of varieties with group a finite cyclic group of order . We prove that the homogeneous i…

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.AG202012 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…