Gorenstein Matroids

被引：1

作者：

Lason, Michal ^{[1
]}

Michalek, Mateusz ^{[2
]}

机构：

[1] Polish Acad Sci, Inst Math, Ul Sniadeckich 8, PL-00656 Warsaw, Poland

[2] Univ Konstanz, Fach D 197, D-78457 Constance, Germany

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2023年 / 2023卷 / 18期

关键词：

EHRHART POLYNOMIALS; POLYTOPES; POLYHEDRA; CLASSIFICATION;

D O I：

10.1093/imrn/rnac292

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：15687 / 15728

页数：42

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