English

Symbolic Powers and Matroids

Commutative Algebra 2011-09-19 v3 Combinatorics

Abstract

We prove that all the symbolic powers of a Stanley-Reisner ideal are Cohen-Macaulay if and only if the associated simplicial complex is a matroid.

Cite

@article{arxiv.1003.2912,
  title  = {Symbolic Powers and Matroids},
  author = {Matteo Varbaro},
  journal= {arXiv preprint arXiv:1003.2912},
  year   = {2011}
}

Comments

10 pages, some minor changes

R2 v1 2026-06-21T14:57:58.247Z