1 citations · 2 across the 8 of their papers we have counts for
6 papers · 1 filter
On the Weak Lefschetz Property for certain ideals generated by powers of linear forms
Giuseppe Favacchio, Juan Migliore
Ideals generated by powers of linear forms arise, via Macaulay duality, from sets of fat points . Properties of are conn…
Steiner Configurations ideals: containment and colouring
Edoardo Ballico, Giuseppe Favacchio, Elena Guardo +2
Given a homogeneous ideal , the Containment problem studies the relation between symbolic and regular powers of , that is, it asks for which pair $…
The ACM property for unions of lines in
Giuseppe Favacchio, Juan Migliore
This paper examines the Arithmetically Cohen-Macaulay (ACM) property for certain codimension 2 varieties in called sets of lines in $\mathbb P^1\tim…
Regularity and h-polynomials of toric ideals of graphs
Giuseppe Favacchio, Graham Keiper, Adam Van Tuyl
For all integers , we show that there exists a finite simple graph with toric ideal such that has (Castelnuovo-Mumford) regula…
Splittings of Toric Ideals
Giuseppe Favacchio, Johannes Hofscheier, Graham Keiper +1
Let be a toric ideal, i.e., a binomial prime ideal. We investigate when the ideal can be "split" into the sum of two smaller toric…
In the Shadows of a hypergraph: looking for associated primes of powers of squarefree monomial ideals
Erin Bela, Giuseppe Favacchio, Nghia Tran
The aim of this paper is to study the associated primes of powers of squarefree monomial ideals. Hypergraphs and squarefree monomial ideals are strongly connected. The cover ideal…