A class of transversal polymatroids with Gorenstein base ring

zbMATH Open1164.13001arXiv0801.2329MaRDI QIDQ3603262

Alin Ştefan

Publication date: 16 February 2009

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/0801.2329

zbMATH Keywords

Hilbert seriescanonical module\(a\)-invarianttransversal polymatroidbase ringequations of a cone

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linear inequalities of matrices (15A39) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02)

Related Items (3)

Intersections of base rings associated to transversal polymatroids ⋮ Title not available (Why is that?) ⋮ Title not available (Why is that?)

This page was built for publication: A class of transversal polymatroids with Gorenstein base ring

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q3603262)