Marcus Robinson

activity

20122020

most citedExplicit Hilbert-Kunz functions of 2 x 2 determinantal rings

6 citations · 13 across the 5 of their papers we have counts for

collaborators

5 papers

math.AC2020★ 1 cited

FastMinors package for Macaulay2

Boyana Martinova, Marcus Robinson, Karl Schwede +1

In this article, we present FastMinors.m2, a package in Macaulay2 designed to introduce new methods focused on computations in function field linear algebra. Some key functionality…

math.AC2019

Big Cohen-Macaulay Test Ideals on Mixed Characteristic Toric Schemes

Marcus Robinson

We provide a formula to compute the big Cohen-Macaulay test ideal for triples $((R, Δ), a^{t})$ where $R$ is a mixed characteristic toric ring and $a$ is a mono…

math.AC2018★ 3 cited

The TestIdeals package for Macaulay2

Alberto F. Boix, Daniel J. Hernández, Zhibek Kadyrsizova +7

This note describes a \emph{Macaulay2} package for computations in prime characteristic commutative algebra. This includes Frobenius powers and roots, $p^{- e}$ -linear and $p^{e}$ -l…

math.AC2013★ 6 cited

Explicit Hilbert-Kunz functions of 2 x 2 determinantal rings

Marcus Robinson, Irena Swanson

Let $k [X] = k [x_{i, j} : i = 1, ..., m; j = 1, ..., n]$ be the polynomial ring in $mn$ variables $x_{i, j}$ over a field $k$ of arbitrary characteristic. Denote by $I_{2} (X)$ the ideal g…

math.AC2012★ 3 cited

Hilbert-Kunz functions of 2 x 2 determinantal rings

Lance Edward Miller, Irena Swanson

Let k be an arbitrary field (of arbitrary characteristic) and let X = [x_{i,j}] be a generic m x n matrix of variables. Denote by I_2(X) the ideal in k[X] = k[x_{i,j}: i = 1, ...,…