The v-numbers of permanental ideals

TL;DR

This paper calculates the v-numbers for 2x2 permanental ideals across various matrix types, including generic, symmetric, and Hankel matrices.

Contribution

It provides explicit computations of v-numbers for specific classes of permanental ideals, advancing understanding in algebraic combinatorics.

Findings

Computed v-numbers for 2x2 permanental ideals of generic matrices

Extended calculations to symmetric and Hankel matrix cases

Results contribute to the algebraic understanding of permanental ideals

Abstract

In this article, we compute the $\vv$-number of $2\times 2$ permanental ideals of generic, generic symmetric, and generic Hankel matrices.