Symbolic powers and matroids

Varbaro, Matteo

doi:10.1090/S0002-9939-2010-10685-8

Symbolic powers and matroids

Author: Matteo Varbaro
Journal: Proc. Amer. Math. Soc. 139 (2011), 2357-2366
MSC (2010): Primary 13A15, 05E45; Secondary 13A30
DOI: https://doi.org/10.1090/S0002-9939-2010-10685-8
Published electronically: December 8, 2010
MathSciNet review: 2784800
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Abstract: We prove that all the symbolic powers of a Stanley-Reisner ideal $I_{\Delta}$ are Cohen-Macaulay if and only if the simplicial complex $\Delta$ is a matroid.

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