Stanley decompositions and partitionable simplicial complexes

Details Stanley decompositions and partitionable simplicial complexes Stanley decompositions and partitionable simplicial complexes

2006-12-29

arxiv.org/abs/math/0612848v2

Mathematics

Commutative Algebra

10 pages

Scientific paper

We study Stanley decompositions and show that Stanley's conjecture on Stanley
decompositions implies his conjecture on partitionable Cohen-Macaulay
simplicial complexes. We also prove these conjectures for all Cohen-Macaulay
monomial ideals of codimension 2 and all Gorenstein monomial ideals of
codimension 3.

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