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Upper bounds on two Hilbert coefficients
- Publication Year :
- 2022
-
Abstract
- New upper bounds on the first and the second Hilbert coefficients of a Cohen-Macaulay module over a local ring are given. Characterizations are provided for some upper bounds to be attained. The characterizations are given in terms of Hilbert series as well as in terms of the Castelnuovo-Mumford regularity of the associated graded module.<br />Comment: 22 pages
- Subjects :
- Mathematics - Commutative Algebra
13D40, 13H10, 13D45
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2206.03974
- Document Type :
- Working Paper