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The GeometricDecomposability package for Macaulay2

Mike Cummings and Adam Van Tuyl

Vol. 14 (2024), 41–50
Abstract

Using the geometric vertex decomposition property, first defined by Knutson, Miller, and Yong, a recursive definition for geometrically vertex decomposable ideals was given by Klein and Rajchgot. We introduce the Macaulay2 package GeometricDecomposability which provides a suite of tools to experiment and test the geometric vertex decomposability property of an ideal.

Keywords
geometric vertex decomposition, geometrically vertex decomposable, Macaulay2
Mathematical Subject Classification
Primary: 13P10
Secondary: 14M25
Supplementary material

A package to check whether ideals are geometrically vertex decomposable.

Milestones
Received: 10 November 2022
Revised: 17 October 2023
Accepted: 23 January 2024
Published: 26 March 2024
Authors
Mike Cummings
Department of Mathematics and Statistics
McMaster University
Hamilton, ON
Canada
Adam Van Tuyl
Department of Mathematics and Statistics
McMaster University
Hamilton, ON
Canada