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.

中文翻译：

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戈伦斯坦图形拟阵

拟阵线的复曲面类型投射正常，因此是Cohen-Macaulay。当图形拟阵的复曲面是Gorenstein时，我们提供了完整的图论分类。