Remarks on the Hilbert depth of powers of the maximal graded ideal

Abstract

Let $\mathbf{m}=(x_1,\dots ,x_n)$ be the maximal graded ideal of $S:=K[x_1,\dots ,x_n]$. We present a new method for computing the Hilbert depth of powers of $\mathbf{m}$.

11 pages; we realized that the main result was known in literature, thus we had to revise this manuscript accordingly