Linear balls and the multiplicity conjecture

Details Linear balls and the multiplicity conjecture Linear balls and the multiplicity conjecture

2007-05-24

arxiv.org/abs/0705.3531v1

Mathematics

Commutative Algebra

19 Pages

Scientific paper

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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