On CW complexes supporting Eliahou-Kervaire type resolutions of Borel fixed ideals

2013/04/14 by Okazaki, Ryota, Yanagawa, Kohji · 1 citation
#13C13 #13D02 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1304.3906

Abstract

We prove that the Eliahou-Kervaire resolution of a Cohen-Macaulay stable monomial is supported by a regular CW complex whose underlying space is a closed ball. We also show that the modified Eliahou-Kervaire resolutions of variants of a Borel fixed ideal (e.g., a squarefree strongly stable ideal) are supported by regular CW complexes, and their underlying spaces are closed balls in the Cohen-Macaulay case.

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