Cohen–Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals
Resource type
Authors/contributors
- Ghezzi, Laura (Author)
- Goto, Shiro (Author)
- Hong, Jooyoun (Author)
- Ozeki, Kazuho (Author)
- Phuong, Tran Thi (Author)
- Vasconcelos, Wolmer V (Author)
Title
Cohen–Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals
Abstract
The conjecture of Wolmer Vasconcelos on the vanishing of the first Hilbert coefficient e1(Q) is solved affirmatively, where Q is a parameter ideal in a Noetherian local ring. Basic properties of the rings for which e 1(Q) vanishes are derived. The invariance of e1(Q) for parameter ideals Q and its relationship to Buchsbaum rings are studied. © 2010 London Mathematical Society.
Publication
Journal of The London Mathematical Society-second Series
Date
2010
Volume
81
Issue
3
Pages
679-695
Journal Abbr
J. Lond. Math. Soc.
Citation Key
pop00034
ISSN
00246107 (ISSN)
Language
English
Extra
26 citations (Crossref) [2023-10-31]
Citation Key Alias: lens.org/176-080-348-377-227
tex.type: [object Object]
Citation
Ghezzi, L., Goto, S., Hong, J., Ozeki, K., Phuong, T. T., & Vasconcelos, W. V. (2010). Cohen–Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals. Journal of The London Mathematical Society-Second Series, 81(3), 679–695. https://doi.org/10.1112/jlms/jdq008
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