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arXiv · 1905.05418

Gorenstein graphic matroids

Takayuki Hibi·Michał Lasoń·Kazunori Matsuda·Mateusz Michałek·Martin Vodička
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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.

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Takayuki Hibi, Michał Lasoń, Kazunori Matsuda, Mateusz Michałek, Martin Vodička. 2019-05-14. Gorenstein graphic matroids. https://doi.org/10.1007/s11856-021-2136-y

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