Hilbert–Kunz functions of $2\times2$ determinantal rings
Hilbert–Kunz functions of $2\times2$ determinantal rings
Let k be an arbitrary field (of arbitrary characteristic) and let X = [xi,j] be a generic m × n matrix of variables.Denote by I2(X) the ideal in kgenerated by the 2 × 2 minors of X.Using Gröbner basis, we give a recursive formulation for the lengths of the k[X]-module …