Equivariant Syzygies of the Ideal of 2 x 2 Permanents of a 2 x n Matrix

2025/02/07 by Jacob Zoromski, Zoromski, Jacob
Mathematics · Computer Science · #Advanced Topics in Algebra #Matrix Theory and Algorithms #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2502.05358

Abstract

We describe the equivariant syzygies of the ideal of 2 × 2 permanents of a generic 2 × n matrix under its natural symmetric and torus group actions. Our proof gives us a new method of finding the Betti numbers of this ideal, which were first described by Gesmundo, Huang, Schenck, and Weyman.

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