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math.AC2020
Conic divisorial ideals and non-commutative crepant resolutions of edge rings of complete multipartite graphs
Akihiro Higashitani, Koji Matsushita
The first goal of the present paper is to study the class groups of the edge rings of complete multipartite graphs, denoted by , where $1 \leq r_1 \leq \…
math.AC2020
Quadratic Gröbner bases of block diagonal matching field ideals and toric degenerations of Grassmannians
Akihiro Higashitani, Hidefumi Ohsugi
In the present paper, we prove that the toric ideals of certain -block diagonal matching fields have quadratic Gröbner bases. Thus, in particular, those are quadratically genera…