5 citations · 11 across the 11 of their papers we have counts for
11 papers
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…
Genus 3 curves whose Jacobians have endomorphisms by , II
J. W. Hoffman, Dun Liang, Zhibin Liang +3
In this work we consider constructions of genus three curves such that contains the totally real cubic number field …
On CW complexes supporting Eliahou-Kervaire type resolutions of Borel fixed ideals
Ryota Okazaki, Kohji Yanagawa
We prove that the Eliahou-Kervaire resolution of a Cohen-Macaulay stable monomial is supported by a regular CW complex whose underlying space is a closed ball. We also show that th…
On the radical of multigraded modules
Viviana Ene, Ryota Okazaki
We define a functor $\rr^\ast$ from the category of positively determined modules to the category of squarefree modules which plays the role of passing from a monomial ideal to its…
Toric rings arising from cyclic polytopes
Takayuki Hibi, Akihiro Higashitani, Lukas Katth"an +1
In the present paper, we consider the problem when the toric ring arising from an integral cyclic polytope is Cohen-Macaulay by discussing Serre's condition and we give a complete…
Normal cyclic polytopes and cyclic polytopes that are not very ample
Takayuki Hibi, Akihiro Higashitani, Lukas Katthän +1
Let and be positive integers with and integers with . Let $C_{d}(τ_{1}, ..., τ_{n}) \subset \RR^{d}$ denote the cycl…