Cohen-Macaulay local rings with e₁ = e + 2

2019/07/26 by Tony J. Puthenpurakal, Puthenpurakal, Tony J.
Mathematics · #13A30 (Primary) #13D40 #13H10 (Secondary) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1907.11502

openalex publication_date 2019/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we determine the possible Hilbert functions of a Cohen-Macaulay local ring of dimension d, multiplicity e and first Hilbert coefficient e₁ in the case e₁ = e + 2.

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