Upper bounds on two Hilbert coefficients

2022/06/08 by Le Xuan Dung, Dung, Le Xuan, Juan Elías +3 · 1 citation
Mathematics · #13D40 #13D45 #13H10 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2206.03974

openalex publication_date 2022/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Bounds on the second Hilbert coefficient and the depth of the associated graded ring

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