The homology of parameter ideals
Resource type
Authors/contributors
- Goto, Shiro (Author)
- Hong, Jooyoun (Author)
- Vasconcelos, Wolmer V (Author)
Title
The homology of parameter ideals
Abstract
For a Noetherian local ring, we analyze conjectural relationships between the first Hilbert coefficient of a parameter ideal and the first partial Euler characteristic of its Koszul complex. Given their similar role as predictors of the Cohen-Macaulay property, we consider a direct comparison between them. For parameter ideals generated by d-sequences these numbers are related in an explicit formula. We then turn to study of families of parameter ideals that have the same Hilbert function. © 2012 Elsevier Inc.
Publication
Journal of Algebra
Date
2012
Volume
368
Pages
271-299
Journal Abbr
J. Algebra
Citation Key
pop00043
ISSN
00218693 (ISSN)
Language
English
Extra
7 citations (Crossref) [2023-10-31]
Citation Key Alias: lens.org/105-439-048-396-373
tex.type: [object Object]
Citation
Goto, S., Hong, J., & Vasconcelos, W. V. (2012). The homology of parameter ideals. Journal of Algebra, 368, 271–299. https://doi.org/10.1016/j.jalgebra.2012.07.003
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