Work

Gorenstein Matroids

Year: 2022

Type: article

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.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnac292

Authors: Michał Lasoń, Mateusz Michałek

Institutions: Institute of Mathematics, Polish Academy of Sciences, University of Konstanz

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,152

OpenAlex ID: W4307950778