Adam Van Tuyl

activity

20042026

most citedMultigraded regularity: syzygies and fat points

40 citations · 95 across the 43 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.RA2016

Refined Inertia of Matrix Patterns

Jonathan Earl, Kevin N. Vander Meulen, Adam Van Tuyl

We explore how the combinatorial arrangement of prescribed zeros in a matrix affects the possible eigenvalues that the matrix can obtain. We demonstrate that there are inertially a…

math.AC2016

The symbolic defect of an ideal

Federico Galetto, Anthony V. Geramita, Yong-Su Shin +1

Let $I$ be a homogeneous ideal of $k [x_{0}, \dots, x_{n}]$ . To compare $I^{(m)}$ , the $m$ -th symbolic power of $I$ , with $I^{m}$ , the regular $m$ -th power, we introduce the $m$ -th sym…

math.CO2016★ 3 cited

Shedding vertices of vertex decomposable graphs

Jonathan Baker, Kevin N. Vander Meulen, Adam Van Tuyl

We focus our attention on well-covered graphs that are vertex decomposable. We show that for many known families of these vertex decomposable graphs, the set of shedding vertices f…

math.AC2016

Symbolic powers of codimension two Cohen-Macaulay ideals

Susan Cooper, Giuliana Fatabbi, Elena Guardo +6

Let $I_{X}$ be the saturated homogeneous ideal defining a codimension two arithmetically Cohen-Macaulay scheme $X \subseteq P^{n}$ , and let $I_{X}^{(m)}$ denote its $m$ -th symbo…