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Spring 2020 Almost Buchsbaumness of some rings arising from complexes with isolated singularities
Connor Sawaske
J. Commut. Algebra 12(1): 115-133 (Spring 2020). DOI: 10.1216/jca.2020.12.115

Abstract

We study properties of the Stanley–Reisner rings of simplicial complexes with isolated singularities modulo two generic linear forms. Miller, Novik, and Swartz proved that if a complex has homologically isolated singularities, then its Stanley–Reisner ring modulo one generic linear form is Buchsbaum. Here we examine the case of nonhomologically isolated singularities, providing many examples in which the Stanley–Reisner ring modulo two generic linear forms is a quasi-Buchsbaum but not Buchsbaum ring.

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Connor Sawaske. "Almost Buchsbaumness of some rings arising from complexes with isolated singularities." J. Commut. Algebra 12 (1) 115 - 133, Spring 2020. https://doi.org/10.1216/jca.2020.12.115

Information

Received: 30 March 2017; Revised: 20 June 2017; Accepted: 12 July 2017; Published: Spring 2020
First available in Project Euclid: 13 May 2020

zbMATH: 07211330
MathSciNet: MR4097061
Digital Object Identifier: 10.1216/jca.2020.12.115

Subjects:
Primary: 13D45, 13F55, 13H10

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.12 • No. 1 • Spring 2020
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