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Symbolic powers and matroids

Author: Matteo Varbaro
Journal: Proc. Amer. Math. Soc. 139 (2011), 2357-2366
MSC (2010): Primary 13A15, 05E45; Secondary 13A30
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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Additional Information

Matteo Varbaro
Affiliation: Dipartimento di Matematica, Università degli Studi di Genova, Via Dodrcaneso 35, 16145, Genova, Italy

Received by editor(s): March 14, 2010
Received by editor(s) in revised form: June 25, 2010
Published electronically: December 8, 2010
Communicated by: Irena Peeva
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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