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Hilbert polynomials of j-transforms
Resource type
Authors/contributors
- Goto, Shiro (Author)
- Hong, Jooyoun (Author)
- Vasconcelos, Wolmer V (Author)
Title
Hilbert polynomials of j-transforms
Abstract
We study transformations of finite modules over Noetherian local rings that attach to a module M a graded module H(x)(M) defined via partial systems of parameters x of M. Despite the generality of the process, which are called j-transforms, in numerous cases they have interesting cohomological properties. We focus on deriving the Hilbert functions of j-transforms and studying the significance of the vanishing of some of its coefficients. Copyright © 2016 Cambridge Philosophical Society.
Publication
Mathematical Proceedings of the Cambridge Philosophical Society
Date
2016
Volume
161
Issue
2
Pages
305-337
Journal Abbr
Math. Proc. Camb. Philos. Soc.
Citation Key
pop00175
ISSN
03050041 (ISSN)
Language
English
Extra
0 citations (Crossref) [2023-10-31]
Citation Key Alias: lens.org/002-211-924-856-101
Citation
Goto, S., Hong, J., & Vasconcelos, W. V. (2016). Hilbert polynomials of j-transforms. Mathematical Proceedings of the Cambridge Philosophical Society, 161(2), 305–337. https://doi.org/10.1017/S0305004116000268
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