17 citations · 95 across the 28 of their papers we have counts for
35 papers
Multigraded Castelnuovo-Mumford regularity via Klyachko filtrations
Rosa M. Miró-Roig, Martí Salat-Moltó
In this paper, we consider graded modules on the graded Cox ring of a smooth complete toric variety . Using…
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…
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…
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…
The weak Lefschetz property of Gorenstein algebras of codimension three associated to the Apéry sets
Rosa M. Miró-Roig, Quang Hoa Tran
It has been conjectured that {\it all} graded Artinian Gorenstein algebras of codimension three have the weak Lefschetz property over a field of characteristic zero. In this paper,…