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arXiv · 1410.3666

Stanley depth and simplicial spanning trees

Lukas Katthän
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Abstract

We show that for proving the Stanley conjecture, it is sufficient to consider a very special class of monomial ideals. These ideals (or rather their lcm lattices) are in bijection with the simplicial spanning trees of skeletons of a simplex. We apply this result to verify the Stanley conjecture for quotients of monomial ideals with up to six generators. For seven generators we obtain a partial result.

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Lukas Katthän. 2015-03-09. Stanley depth and simplicial spanning trees. https://arxiv.org/abs/1410.3666

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