Symbolic powers and matroids
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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.References
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Additional Information
- Matteo Varbaro
- Affiliation: Dipartimento di Matematica, Università degli Studi di Genova, Via Dodrcaneso 35, 16145, Genova, Italy
- MR Author ID: 873871
- Email: varbaro@dima.unige.it
- 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
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - 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
- MathSciNet review: 2784800