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On polytopes simple in edges

Vladlen Timorin
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Abstract

We investigate some combinatorial properties of convex polytopes simple in edges. For polytopes whose nonsimple vertices are located sufficiently far one from another, we prove an analog of the Hard Lefschetz theorem. It implies Stanley's conjecture for such polytopes.

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Vladlen Timorin. 2001-02-13. On polytopes simple in edges. https://arxiv.org/abs/math/0010213

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