14 citations · 56 across the 17 of their papers we have counts for
Showing 2026Show all
2 papers · 1 filter
math.CO2026
Integer decomposition property of three-dimensional smooth polytopes: a shorter proof
Juliana Curtis, Gaku Liu
Oda's smoothness conjecture asserts that every smooth lattice polytope has the integer decomposition property. The three-dimensional case of this conjecture was recently proven by…
math.CO2026
The Gröbner Version of White's Conjecture is False
Spencer Backman, Nathan Cheung, Michał Lasoń +2
We show that the toric ideal of the Fano matroid polytope does not have a quadratic Gröbner basis. This resolves in the negative a strong version of White's conjecture from matroid…