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math.AC2015
The Cohen-Macaulayness of the bounded complex of an affine oriented matroid
Ryota Okazaki, Kohji Yanagawa
An affine oriented matroid is a combinatorial abstraction of an affine hyperplane arrangement. From it, Novik, Postnikov and Sturmfels constructed a squarefree monomial ideal in a…
math.AC2015
A Canonical module characterization of Serre's
Lukas Katthän, Kohji Yanagawa
In this short note, we give a characterization of domains satisfying Serre's condition in terms of their canonical modules. In the special case of toric rings, thi…