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The positivity of the first coefficients of normal Hilbert polynomials
Resource type
Authors/contributors
- Goto, Shiro (Author)
- Hong, Jooyoun (Author)
- Mandal, Mousumi (Author)
Title
The positivity of the first coefficients of normal Hilbert polynomials
Abstract
Let R be an analytically unramified local ring with maximal ideal m and d = dimR > 0. If R is unmixed, then e1I (R) = 0 for every m-primary ideal I in R, where e1I (R) denotes the first coefficient of the normal Hilbert polynomial of R with respect to I. Thus the positivity conjecture on e1I(R) posed by Wolmer V. Vasconcelos is settled affirmatively. © 2010 American Mathematical Society.
Publication
Proceedings of the American Mathematical Society
Date
2010
Volume
139
Issue
7
Pages
2399-2406
Journal Abbr
Proc. Am. Math. Soc.
Citation Key
pop00282
ISSN
00029939 (ISSN)
Language
English
Extra
3 citations (Crossref) [2023-10-31]
Citation Key Alias: lens.org/045-772-863-857-214
Citation
Goto, S., Hong, J., & Mandal, M. (2010). The positivity of the first coefficients of normal Hilbert polynomials. Proceedings of the American Mathematical Society, 139(7), 2399–2406. https://doi.org/10.1090/S0002-9939-2010-10710-4
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