3 citations · 4 across the 4 of their papers we have counts for
5 papers
Bootstrap Percolation, Indecomposable Permutations, and the n-Kings problem
Mark Huibregtse, Cristobal Lemus-Vidales, David Vella
We study the process of bootstrap percolation on n x n permutation matrices, inspired by the work of Shapiro and Stephens [5]. In this percolation model, cells mutate (from 0 to 1)…
More elementary components of the Hilbert scheme of points
Mark E. Huibregtse
Let be an algebraically closed field of characteristic , and let denote the Hilbert scheme of points of the affine space . An elementary component of $H^μ…
Some elementary components of the Hilbert scheme of points
Mark E. Huibregtse
Let be an algebraically closed field of characteristic 0, and let denote the Hilbert scheme of points of affine n-space . An elementary component of is an…
Some syzygies of the generators of the ideal of a border basis scheme
Mark E. Huibregtse
A border basis scheme is an affine scheme that can be viewed as an open subscheme of the Hilbert scheme of μpoints of affine n-space. We study syzygies of the generators of a borde…
The cotangent space at a monomial ideal of the Hilbert scheme of points of an affine space
Mark E. Huibregtse
Let k be an algebraically closed field. We study the cotangent space of a point t corresponding to a monomial ideal I of k[x_1, ..., x_r] in the Hilbert scheme of n points of affin…