Hilbert depth of powers of the maximal ideal

Autor:	Bruns, Winfried, Krattenthaler, Christian, Uliczka, Jan
Rok vydání:	2010
Předmět:	Mathematics - Commutative Algebra Mathematics - Combinatorics 13F20 (Primary) 05A10 05E99 13C15 13F55 (Secondary)
Zdroj:	in: "Commutative Algebra and its Connections to Geometry (PASI 2009)," A. Corso, C. Polini (eds.), Contemporary Mathematics, vol. 555, Amer. Math. Soc., R.I., 2011, pp. 1-12
Druh dokumentu:	Working Paper
Popis:	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. Comment: AmS-LaTeX, 13 pages; fixed a gap in Lemma 3.5 pointed out by Jiayuan Lin
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1002.1400 Zobrazit plný text záznamu View this record from Arxiv