Hilbert depth of powers of the maximal ideal
Commutative Algebra
2011-10-24 v2 Combinatorics
Abstract
The Hilbert depth of a module M is the maximum depth that occurs among all modules with the same Hilbert function as M. In this note we compute the Hilbert depths of the powers of the irrelevant maximal ideal in a standard graded polynomial ring.
Cite
@article{arxiv.1002.1400,
title = {Hilbert depth of powers of the maximal ideal},
author = {Winfried Bruns and Christian Krattenthaler and Jan Uliczka},
journal= {arXiv preprint arXiv:1002.1400},
year = {2011}
}
Comments
AmS-LaTeX, 13 pages; fixed a gap in Lemma 3.5 pointed out by Jiayuan Lin