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arXiv · 2005.08359

Gorenstein matroids

Michał Lasoń·Mateusz Michałek
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Abstract

Matroid base polytope and independence polytope are Cohen-Macaulay. There are plenty of examples when they are also Gorenstein. We provide a full classification of matroids whose independence polytope or base polytope is Gorenstein. This answers to a question raised by Herzog and Hibi.

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Michał Lasoń, Mateusz Michałek. 2026-09-01. Gorenstein matroids. https://doi.org/10.1093/imrn%2Frnac292

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