Kazarnovskii mixed pseudovolume

Abstract

The present paper is a detailed and almost self-contained introduction to Kazarnovskii mixed pseudovolume. It provides new formulas and new results about Alexandroff-Fenchel type inequalities for Kazarnovskii mixed pseudovolume.

Figures (6)

• Figure 1: The end-points of the black segment are faces but not exposed ones.
• Figure 2: The three polytopes are combinatorially isomorphic but only the first two are strongly combinatorially isomorphic because the brown face of the third polytope is not parallel to the brown ones of the first two.
• Figure 3: Induced orientations.
• Figure 4: A polytope, containing the origin, decomposed into pyramids based onto its facets.
• Figure 5: A cube and parts of the dual cones to the edges passing through the origin.

Theorems & Definitions (1)

• Example 2.1