A class of transversal polymatroids with Gorenstein base ring

Details A class of transversal polymatroids with Gorenstein base ring A class of transversal polymatroids with Gorenstein base ring

2008-01-15

arxiv.org/abs/0801.2329v1

Mathematics

Commutative Algebra

9 pages

Scientific paper

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

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