18 citations · 176 across the 52 of their papers we have counts for
4 papers · 1 filter
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.…
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…
Classification and counting of Gorenstein simplices with -polynomial
Akiyoshi Tsuchiya
Hibi, Yoshida, and the author classified Gorenstein simplices which are not lattice pyramids and whose \(h^*\)-polynomials are of the form \(1+t^k+t^{2k}+\cdots+t^{(v-1)k}\) when \…
Gorenstein Simplices and Even Binary Self-Complementary Codes
Akiyoshi Tsuchiya
It is known that if a Gorenstein simplex of dimension \(d\) and degree \(s\) is not a lattice pyramid, then \(d \leq 2s-1\). In this paper, we study the extremal case \(d=2s-1\). M…