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On the initial behaviour of the number of generators of powers of monomial ideals

2020/02/19 by Reza Abdolmaleki, Jürgen Herzog, Abdolmaleki, Reza +3
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Mathematics #Monomial #Polynomial and algebraic computation #Pure mathematics #math.AC

paper · pdf · doi:10.48550/arxiv.2002.08096

arxiv created 2020/02/19 · openalex publication_date 2020/02/19 · arxiv updated 2020/02/20 · openalex created_date 2020/03/06 · openalex updated_date 2026/07/28

Abstract

Given a number q, we construct a monomial ideal I with the property that the function which describes the number of generators of Ik has at least q local maxima.

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