Variation of hilbert coefficients
Resource type
Authors/contributors
- Ghezzi, Laura (Author)
- Goto, Shiro (Author)
- Hong, Jooyoun (Author)
- Vasconcelos, Wolmer V (Author)
Title
Variation of hilbert coefficients
Abstract
For a Noetherian local ring (R, m), the first two Hilbert coefficients, e0 and e1, of the I-adic filtration of an m-primary ideal I are known to code for properties of R, of the blowup of Spec(R) along V (I), and even of their normalizations. We give estimations for these coefficients when I is enlarged (in the case of e1 in the same integral closure class) for general Noetherian local rings. © American Mathematical Society.
Publication
Proceedings of the American Mathematical Society
Date
2013
Volume
141
Issue
9
Pages
3037-3048
Journal Abbr
Proc. Am. Math. Soc.
Citation Key
pop00125
ISSN
00029939 (ISSN)
Language
English
Extra
3 citations (Crossref) [2023-10-31]
Citation Key Alias: lens.org/035-873-690-231-781
Citation
Ghezzi, L., Goto, S., Hong, J., & Vasconcelos, W. V. (2013). Variation of hilbert coefficients. Proceedings of the American Mathematical Society, 141(9), 3037–3048. https://doi.org/10.1090/S0002-9939-2013-11774-0
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