3 citations · 3 across the 4 of their papers we have counts for
4 papers
Weak and strong Lefschetz properties for Hartshorne-Rao modules of curves in
Juan Migliore, Uwe Nagel, Chris Peterson +1
Let be a curve over an algebraically closed field of characteristic zero, and let denote its Hartshorne-Rao module. We study how the geometry of i…
The weak Lefschetz property for artinian Gorenstein algebras of small Sperner number
Mats Boij, Juan C. Migliore, Rosa Maria Miró-Roig +1
For artinian Gorenstein algebras in codimension four and higher, it is well known that the Weak Lefschetz Property (WLP) does not need to hold. For Gorenstein algebras in codimensi…
Betti numbers for connected sums of graded Gorenstein artinian algebras
Nasrin Altafi, Roberta Di Gennaro, Federico Galetto +5
The connected sum construction, which takes as input Gorenstein rings and produces new Gorenstein rings, can be considered as an algebraic analogue for the topological construction…
Waring and cactus ranks and Strong Lefschetz Property for annihilators of symmetric forms
M. Boij, J. Migliore, R. M. Miró-Roig +1
In this note we show that the complete symmetric polynomials are dual generators of compressed artinian Gorenstein algebras satisfying the Strong Lefschetz Property. This is the fi…