Connection Matrices in Macaulay2

📝 Original Info

• Title: Connection Matrices in Macaulay2
• ArXiv ID: 2504.01362
• Date: 2025-04-02
• Authors: ** - 논문에 저자 정보가 명시되어 있지 않음. (제공된 텍스트에 저자명 없음) **

📝 Abstract

In this article, we describe the theoretical foundations of the Macaulay2 package ConnectionMatrices and explain how to use it. For a left ideal in the Weyl algebra that is of finite holonomic rank, we implement the computation of the encoded system of linear PDEs in connection form with respect to an elimination term order that depends on a chosen positive weight vector. We also implement the gauge transformation for carrying out a change of basis over the field of rational functions. We demonstrate all implemented algorithms with examples.

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