Published February 5, 2026 | Version v1

SAGBI and Gröbner bases detection

  • 1. ROR icon Max Planck Institute for Mathematics in the Sciences
  • 2. ROR icon University of Missouri
  • 3. ROR icon Otto-von-Guericke University Magdeburg

Description

This page presents the source code and detailed explanations accompanying the computational results from the paper titled SAGBI and Gröbner Bases Detection.


The Julia package source code is located in the folder SagbiGbDetection. A supplementary tutorial featuring various small examples is provided in the notebook SagbiGbDetection tutorial.ipynb. Additional examples from Algebraic Statistics, as well as those related to the Grassmannians and their generalizations, are implemented in Julia and are available in the notebook Examples Section5.ipynb

The discussion regarding principal minors at the end of Section 5 is supported by Macaulay2 code, available in the file PrincipalMinors.m2. The source code for the Macaulay2 package can be found on Macaulay2 GitHub.

Files

Examples Section5.ipynb

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Additional details

Related works

Is supplement to
Preprint: arXiv:2404.16796 (arXiv)