For any finite set of unit normals positively spanning R^n, the cone-volume set C_cv(U) is a path-connected semialgebraic set, and it equals the scaled matroid base polytope only for centrally symmetric parallelepipeds.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.MG 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On polynomial inequalities for cone-volumes of polytopes
For any finite set of unit normals positively spanning R^n, the cone-volume set C_cv(U) is a path-connected semialgebraic set, and it equals the scaled matroid base polytope only for centrally symmetric parallelepipeds.