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Gorenstein graphic matroids

Authors :
Hibi, Takayuki
Lasoń, Michał
Matsuda, Kazunori
Michałek, Mateusz
Vodička, Martin
Source :
Israel Journal of Mathematics 243 (2021), no. 1, 1-26
Publication Year :
2019

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.

Details

Database :
arXiv
Journal :
Israel Journal of Mathematics 243 (2021), no. 1, 1-26
Publication Type :
Report
Accession number :
edsarx.1905.05418
Document Type :
Working Paper
Full Text :
https://doi.org/10.1007/s11856-021-2136-y