Hilbert depth of powers of the maximal ideal

Details Hilbert depth of powers of the maximal ideal Hilbert depth of powers of the maximal ideal

2010-02-06

arxiv.org/abs/1002.1400v2

in: "Commutative Algebra and its Connections to Geometry (PASI 2009)," A. Corso, C. Polini (eds.), Contemporary Mathematics, v

Mathematics

Commutative Algebra

AmS-LaTeX, 13 pages; fixed a gap in Lemma 3.5 pointed out by Jiayuan Lin

Scientific paper

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.

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