12 citations · 21 across the 7 of their papers we have counts for
7 papers
Interpolation matrices and jumping lines of logarithmic bundles
Elena Guardo, Graham Keiper, Grzegorz Malara
We study jumping lines loci of logarithmic bundles associated with finite sets of points in the projective plane. Using the interpolation matrix introduced in [DMTG25], we describe…
Splittings of Ideals of Points in
Elena Guardo, Graham Keiper, Adam Van Tuyl
Let be the bihomogeneous ideal of a finite set of points . The purpose of this note is to consider ``splitting…
Symbolic Powers of Toric Ideals
Giuseppe Favacchio, Graham Keiper
This paper investigates the symbolic powers of toric ideals. We first describe them in terms of the kernel of certain linear maps derived from the lattice structure of the toric id…
Density of -ideals and -ideals in mixed small degrees
Huy TÀi HÀ, Graham Keiper, Hasan Mahmood +1
A squarefree monomial ideal is called an -ideal if its Stanley-Reisner and facet simplicial complexes have the same -vector. We show that -ideals generated in a fixed degr…
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…
Betti numbers of toric ideals of graphs: A case study
Federico Galetto, Johannes Hofscheier, Graham Keiper +3
We compute the graded Betti numbers for the toric ideal of a family of graphs constructed by adjoining a cycle to a complete bipartite graph. The key observation is that this famil…