Corpus ID: 218673705

On algebraic properties of matroid polytopes

@article{Lason2020OnAP,
  title={On algebraic properties of matroid polytopes},
  author={Michal Laso'n and Mateusz Michałek},
  journal={arXiv: Combinatorics},
  year={2020}
}
  • Michal Laso'n, Mateusz Michałek
  • Published 2020
  • Mathematics
  • arXiv: Combinatorics
  • A toric variety is constructed from a lattice polytope. It is common in algebraic combinatorics to carry this way a notion of an algebraic property from the variety to the polytope. From the combinatorial point of view, one of the most interesting constructions of toric varieties comes from the base polytope of a matroid. Matroid base polytopes and independence polytopes are Cohen--Macaulay. We study two natural stronger algebraic properties -- Gorenstein and smooth. We provide a full… CONTINUE READING

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 44 REFERENCES
    Matroid Polytopes and their Volumes
    54
    On the toric ideal of a matroid
    30
    Special simplices and Gorenstein toric rings
    49
    Gröbner bases and convex polytopes
    1461
    Gorenstein cut polytopes
    6