This material has been published in "Commutative Algebra and its Connections to Geometry (PASI 2009)," A. Corso, C. Polini (eds.), Contemporary Mathematics, vol. 555, Amer. Math. Soc., Providence, R.I., 2011, pp. 1-12, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by the American Mathematical Society. This material may not be copied or reposted without explicit permission.

Winfried Bruns, Christian Krattenthaler and Jan Uliczka

Hilbert depth of powers of the maximal ideal

(12 pages)

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.

The following versions are available:

Back to Christian Krattenthaler's home page.