65 citations · 344 across the 51 of their papers we have counts for
55 papers
Magic positivity for polar duals of pseudo-symmetric smooth Fano polytopes
Hidefumi Ohsugi, Akiyoshi Tsuchiya
Motivated by Gal's conjecture, Ferroni and Higashitani conjectured that the -polynomial of any Gorenstein lattice polytope admitting a quadratic triangulation is -positive.…
Quadratic Gröbner bases for cut ideals of cycles and ring graphs
Hidefumi Ohsugi
Let be the cycle of length and let be its cut ideal. We show that has a quadratic Gröbner basis with respect to an explicit weight order. Since th…
A matroidal criterion for flow polytopes to be order polytopes
Akihiro Higashitani, Hidefumi Ohsugi
Flow polytopes of directed acyclic graphs form a central class of lattice polytopes in algebraic, geometric, and enumerative combinatorics. Order polytopes are one of the best unde…
Simplex faces and quadratic toric ideals of lattice polytopes
Aki Mori, Hidefumi Ohsugi
We say that a convex polytope has the clique-face property if every clique in its 1-skeleton is the vertex set of a face. We establish this property as a geometric necessary condit…
Algebraic aspects of unconditional lattice polytopes
Kenta Mori, Ryo Motomura, Hidefumi Ohsugi +1
Unconditional polytopes are convex polytopes that are symmetric with respect to all coordinate hyperplanes and arise naturally from anti-blocking polytopes by reflection. This pape…
Facet numbers of non-centrally symmetric reflexive polytopes arising from posets
Aki Mori, Kenta Mori, Hidefumi Ohsugi
Twinned chain polytopes form a broad class of non-centrally symmetric reflexive polytopes and exhibit intriguing structures. In the present paper, we show that the number of facets…