Linear balls and the multiplicity conjecture

JOURNAL OF ALGEBRA

卷:319

Article

Hibi, Takayuki²  Singla, Pooja¹ 

[1] Univ Duisburg Essen, FB Math, D-45117 Essen, Germany

[2] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Osaka 5600043, Japan

关键词: combinatorial commutative algebra;   

DOI  :  10.1016/j.jalgebra.2008.01.022

来源: Elsevier

【 摘 要 】

A linear ball is a simplicial complex whose geometric realization is homeomorphic to a ball and whose Stanley-Reisner ring has a linear resolution. It turns out that the Stanley-Reisner ring of the sphere which is the boundary complex of a linear ball satisfies the multiplicity conjecture. A class of shellable spheres arising naturally from commutative algebra whose Stanley-Reisner rings satisfy the multiplicity conjecture will be presented. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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