A non-partitionable Cohen–Macaulay simplicial complex
2020 ◽
Vol DMTCS Proceedings, 28th...
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International audience A long-standing conjecture of Stanley states that every Cohen–Macaulay simplicial complex is partition- able. We disprove the conjecture by constructing an explicit counterexample. Due to a result of Herzog, Jahan and Yassemi, our construction also disproves the conjecture that the Stanley depth of a monomial ideal is always at least its depth.
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2011 ◽
Vol 48
(2)
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pp. 220-226
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2012 ◽
Vol 140
(2)
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pp. 493-504
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2009 ◽
Vol 322
(9)
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pp. 3151-3169
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2001 ◽
Vol DMTCS Proceedings vol. AA,...
(Proceedings)
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