Vol. 10, No. 1, 2020

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The virtual resolutions package for Macaulay2

Ayah Almousa, Juliette Bruce, Michael Loper and Mahrud Sayrafi

Vol. 10 (2020), 51–60
DOI: 10.2140/jsag.2020.10.51
Abstract

We introduce the VirtualResolutions package for the computer algebra system Macaulay2. This package has tools to construct, display, and study virtual resolutions for products of projective spaces. The package also has tools for generating curves in 1 × 2, providing sources of interesting virtual resolutions.

Keywords
virtual resolution, products of projective spaces, toric varieties, free resolutions
Mathematical Subject Classification 2010
Primary: 13D02, 14M25
Supplementary material

A package for computing virtual resolutions.

Milestones
Received: 16 May 2019
Revised: 16 April 2020
Accepted: 19 May 2020
Published: 9 August 2020
Authors
Ayah Almousa
Department of Mathematics
Cornell University
Ithaca, NY
United States
Juliette Bruce
Department of Mathematics
University of Wisconsin-Madison
Madison, WI
United States
Michael Loper
School of Mathematics
University of Minnesota
Minneapolis, MN
United States
Mahrud Sayrafi
School of Mathematics
University of Minnesota
Minneapolis, MN
United States