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arXiv · 1304.3906

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

Ryota Okazaki·Kohji Yanagawa
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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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Ryota Okazaki, Kohji Yanagawa. 2013-04-14. On CW complexes supporting Eliahou-Kervaire type resolutions of Borel fixed ideals. https://arxiv.org/abs/1304.3906

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