English

A class of transversal polymatroids with Gorenstein base ring

Commutative Algebra 2008-01-16 v1

Abstract

In this paper, the principal tool to describe transversal polymatroids with Gorenstein base ring is polyhedral geometry, especially the DanilovStanleyDanilov-Stanley theorem for the characterization of canonical module. Also, we compute the ainvarianta-invariant and the Hilbert series of base ring associated to this class of transversal polymatroids.

Keywords

Cite

@article{arxiv.0801.2329,
  title  = {A class of transversal polymatroids with Gorenstein base ring},
  author = {Alin Stefan},
  journal= {arXiv preprint arXiv:0801.2329},
  year   = {2008}
}

Comments

9 pages

R2 v1 2026-06-21T10:03:09.593Z