17 citations · 95 across the 28 of their papers we have counts for
13 papers · 1 filter
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,…
On the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms
Rosa M. Miró-Roig, Quang Hoa Tran
In 2012, Migliore, the first author, and Nagel conjectured that, for all , the artinian ideal generated by the…
Circulant matrices and Galois-Togliatti systems
Pietro De Poi, Emilia Mezzetti, Mateusz Michałek +2
The goal of this article is to compare the coefficients in the expansion of the permanent with those in the expansion of the determinant of a three-lines circulant matrix. As an ap…
Lefschetz properties for complete intersection ideals generated by products of linear forms
Martina Juhnke-Kubitzke, Rosa M. Miró-Roig, Satoshi Murai +1
In this paper, we study the strong Lefschetz property of artinian complete intersection ideals generated by products of linear forms. We prove the strong Lefschetz property for a c…
The Minimal Resolution Conjecture on a general quartic surface in
Mats Boij, Juan C. Migliore, Rosa María Miró-Roig +1
Mustaţă has given a conjecture for the graded Betti numbers in the minimal free resolution of the ideal of a general set of points on an irreducible projective algebraic variety. F…
On the strong Lefschetz question for uniform powers of general linear forms in
Juan Migliore, Rosa María Miró-Roig
Schenck and Seceleanu proved that if , where is an infinite field, and is an ideal generated by any collection of powers of linear forms, then multiplication…