Refined $F_5$ Algorithms for Ideals of Minors of Square Matrices

Sriram Gopalakrishnan, Vincent Neiger, Mohab Safey El Din

We consider the problem of computing a grevlex Gröbner basis for the set $F_r(M)$ of minors of size $r$ of an $n\times n$ matrix $M$ of generic linear forms over a field of charact…