Linear balls and the multiplicity conjecture

Takayuki Hibi; Pooja Singla

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arXiv · 0705.3531

Linear balls and the multiplicity conjecture

Takayuki Hibi·Pooja Singla

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Abstract

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.

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Takayuki Hibi, Pooja Singla. 2007-05-24. Linear balls and the multiplicity conjecture. https://arxiv.org/abs/0705.3531

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