Bigeneric initial ideals, diagonal subalgebras and bigraded Hilbert functions

Authors
Aramova, A Crona, K De Negri, E
Citation
A. Aramova et al., Bigeneric initial ideals, diagonal subalgebras and bigraded Hilbert functions, J PURE APPL, 150(3), 2000, pp. 215-235
Citations number
11
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN journal
00224049 → ACNP
Volume
150
Issue
3
Year of publication
2000
Pages
215 - 235
Database
ISI
SICI code
0022-4049(20000703)150:3<215:BIIDSA>2.0.ZU;2-L
Abstract
In this paper we study some problems concerning bigraded ideals. By introdu cing the concept of bigeneric initial ideal, we answer an open question abo ut diagonal subalgebras and we give a necessary condition for st function t o be the bigraded Hilbert function of a bigraded algebra. Moreover, we give an upper bound for the regularity of a bistable ideal in terms of the degr ees of its generators. (C) 2000 Elsevier Science B.V. All rights reserved. MSC. 13A02; 13D40; 13P10