Canonical Hilbert-Burch matrices for power series (Q2035811)

Let \(x\) and \(y\) be two indeterminates over a field \(k\). In this paper, the authors try to extend some results concerning the parametrization of Gröbner cells, known in the polynomial ring \(k[x,y]\), to the formal power series ring \(k[[x,y]]\).