English

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

Commutative Algebra 2024-02-19 v2 Combinatorics

Abstract

Let m=(x1,,xn)\mathbf m=(x_1,\ldots,x_n) be the maximal graded ideal of S:=K[x1,,xn]S:=K[x_1,\ldots,x_n]. We present a new method for computing the Hilbert depth of powers of m\mathbf m.

Keywords

Cite

@article{arxiv.2311.11079,
  title  = {Remarks on the Hilbert depth of powers of the maximal graded ideal},
  author = {Silviu Balanescu and Mircea Cimpoeas},
  journal= {arXiv preprint arXiv:2311.11079},
  year   = {2024}
}

Comments

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