Vol. 11, No. 1, 2021

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The Schur–Veronese package in Macaulay2

Juliette Bruce, Daniel Erman, Steve Goldstein and Jay Yang

Vol. 11 (2021), 83–87
Abstract

This note introduces the Macaulay2 package SchurVeronese, which gathers together data about Veronese syzygies and makes it readily accessible in Macaulay2. In addition to standard Betti tables, the package includes information about the Schur decompositions of the various spaces of syzygies. The package also includes a number of functions useful for manipulating and studying this data.

Keywords
syzygies, free resolutions, Veronese syzygies
Mathematical Subject Classification 2010
Primary: 13D02
Supplementary material

Data for Veronese embeddings of projective space

Milestones
Received: 28 May 2019
Revised: 18 February 2021
Accepted: 5 May 2021
Published: 20 February 2022
Authors
Juliette Bruce
Department of Mathematics
University of California, Berkeley
Berkeley, CA
United States
Daniel Erman
Department of Mathematics
University of Wisconsin
Van Vleck Hall
Madison, WI
United States
Steve Goldstein
Botany Department and Department of Biostatistics and Medical Informatics
University of Wisconsin
Madison, WI
United States
Jay Yang
School of Mathematics
University of Minnesota
Minneapolis, MN
United States