Joseph Gubeladze
Published 2020-12-22Version 1
We show that: (1) unimodular simplices in a lattice 3-polytope cover a neighborhood of the boundary of the polytope if and only if the polytope is very ample, (2) the convex hull of lattice points in every ellipsoid in R^3 has a unimodular cover, and (3) for every d at least 6, there are ellipsoids in R^d, such that the convex hulls of the lattice points in these ellipsoids are not even normal. Part (3) answers a question of Bruns, Michalek, and the author.
On the convex hull of integer points above the hyperbola
Interpolation, box splines, and lattice points in zonotopes
On sumsets and convex hull
![QR code for arXiv:2012.11846 [math.CO]](http://oss.arxitics.com/images/favicon.svg)