Hilbert depth of graded modules over polynomial rings in two variables

Autor:	Moyano-Fernández, Julio José, Uliczka, Jan
Rok vydání:	2011
Předmět:	Mathematics - Commutative Algebra Mathematics - Combinatorics Primary 13D40. Secondary 16W50 20M99
Druh dokumentu:	Working Paper
Popis:	In this article we mainly consider the positively Z-graded polynomial ring R=F[X,Y] over an arbitrary field F and Hilbert series of finitely generated graded R-modules. The central result is an arithmetic criterion for such a series to be the Hilbert series of some R-module of positive depth. In the generic case, that is, the degrees of X and Y being coprime, this criterion can be formulated in terms of the numerical semigroup generated by those degrees. Comment: 28 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1109.4593 Zobrazit plný text záznamu View this record from Arxiv