Hilbert-Kunz functions of 2 x 2 determinantal rings

Lance Edward Miller, Irena Swanson

Let k be an arbitrary field (of arbitrary characteristic) and let X = [x_{i,j}] be a generic m x n matrix of variables. Denote by I_2(X) the ideal in k[X] = k[x_{i,j}: i = 1, ...,…