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math.COMay 14, 2019
authors
  • Takayuki Hibi
  • Michał Lasoń
  • Kazunori Matsuda
  • Mateusz Michałek
  • Martin Vodička
institutions
  • Aalto University
  • Institute of Mathematics
  • Kitami Institute of Technology
  • Max Planck Institute for Mathematics in the Sciences
  • Polish Academy of Sciences
  • The University of Osaka
arXiv abstractPDF
paper

Gorenstein graphic matroids

arXiv:1905.05418 · doi:10.1007/s11856-021-2136-y

Abstract

The toric variety of a matroid is projectively normal, and therefore it is Cohen-Macaulay. We provide a complete graph-theoretic classification when the toric variety of a graphic matroid is Gorenstein.

References in corpus (3)

  • Arithmetic aspects of symmetric edge polytopes
  • Interlacing Ehrhart Polynomials of Reflexive Polytopes
  • List coloring of matroids and base exchange properties
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