Polyhedra of small relative mixed volume
arXiv:1912.12108
Abstract
We classify all tuples of lattice polyhedra of relative mixed volume 1 and all minimal (by inclusion) tuples of polyhedra of relative mixed volume 2. We also prove a conjecture by A. Esterov, which states that all tuples with finite relative mixed volume are contained in one of finitely many ones that are minimal by inclusion.
This paper is published at Contribution to Algebra and Geometry in November 2020