Symbolic powers and matroids

  • Varbaro M
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Abstract

We prove that all the symbolic powers of a Stanley-Reisner ideal I Δ I_{\Delta } are Cohen-Macaulay if and only if the simplicial complex Δ \Delta is a matroid.

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Varbaro, M. (2010). Symbolic powers and matroids. Proceedings of the American Mathematical Society, 139(7), 2357–2366. https://doi.org/10.1090/s0002-9939-2010-10685-8

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