Bounds on the normal Hilbert coefficients
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- by Alberto Corso, Claudia Polini and Maria Evelina Rossi PDF
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Abstract:
In this paper we consider extremal and almost extremal bounds on the normal Hilbert coefficients of ${\mathfrak m}$-primary ideals of an analytically unramified Cohen-Macaulay ring $R$ of dimension $d>0$ and infinite residue field. In these circumstances we show that the associated graded ring of the normal filtration of the ideal is either Cohen-Macaulay or almost Cohen-Macaulay.References
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Additional Information
- Alberto Corso
- Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506
- MR Author ID: 348795
- Email: alberto.corso@uky.edu
- Claudia Polini
- Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
- MR Author ID: 340709
- Email: cpolini@nd.edu
- Maria Evelina Rossi
- Affiliation: Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16132 Genova, Italy
- MR Author ID: 150830
- ORCID: 0000-0001-7039-5296
- Email: rossim@dima.unige.it
- Received by editor(s): October 15, 2014
- Received by editor(s) in revised form: June 8, 2015
- Published electronically: October 1, 2015
- Additional Notes: The second author was partially supported by NSF grant DMS-1202685 and NSA grant H98230-12-1-0242.
The third author was partially supported by MIUR grant PRIN-GVS - Communicated by: Irena Peeva
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 1919-1930
- MSC (2010): Primary 13A30, 13B21, 13D40; Secondary 13H10, 13H15
- DOI: https://doi.org/10.1090/proc/12858
- MathSciNet review: 3460155