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

• Autores: Ryota Okazaki, Kohji Yanagawa
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 66, Fasc. 1, 2015, págs. 125-147
• Idioma: inglés
• DOI: 10.1007/s13348-014-0104-0
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• Resumen

  • 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.