18 citations · 176 across the 52 of their papers we have counts for
5 papers · 1 filter
Edge rings with -linear resolutions
Kenta Mori, Hidefumi Ohsugi, Akiyoshi Tsuchiya
In the present paper, we give a complete classification of connected simple graphs whose edge rings have a -linear resolution with . In particular, we show that the ed…
Castelnuovo polytopes
Akiyoshi Tsuchiya
It is known that the sectional genus of a polarized variety has an upper bound, which is an extension of the Castelnuovo bound on the genus of a projective curve. Polarized varieti…
Symmetric edge polytopes and matching generating polynomials
Hidefumi Ohsugi, Akiyoshi Tsuchiya
Symmetric edge polytopes of type A are lattice polytopes arising from the root system and finite simple graphs . There is a connection between $\mathcal{A}…
Worpitzky-compatible subarrangements of braid arrangements and cocomparability graphs
Tan Nhat Tran, Akiyoshi Tsuchiya
The class of Worpitzky-compatible subarrangements of a Weyl arrangement together with an associated Eulerian polynomial was recently introduced by Ashraf, Yoshinaga and the first a…
Two enriched poset polytopes
Soichi Okada, Akiyoshi Tsuchiya
Stanley introduced and studied two lattice polytopes, the order polytope and chain polytope, associated to a finite poset. Recently Ohsugi and Tsuchiya introduce an enriched versio…