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arXiv · 2010.02854

Edge rings with $q$-linear resolutions

Kenta Mori·Hidefumi Ohsugi·Akiyoshi Tsuchiya
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Abstract

In the present paper, we give a complete classification of connected simple graphs whose edge rings have a $q$-linear resolution with $q \geq 2$. In particular, we show that the edge ring of a finite connected simple graph with a $q$-linear resolution, where $q \geq 3$, is a hypersurface, which was conjectured by Hibi, Matsuda, and Tsuchiya.

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Kenta Mori, Hidefumi Ohsugi, Akiyoshi Tsuchiya. 2020-10-14. Edge rings with $q$-linear resolutions. https://doi.org/10.1016/j.jalgebra.2021.11.018

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