2 citations · 7 across the 11 of their papers we have counts for
4 papers · 1 filter
On stratifications for planar tensegrities with a small number of vertices
Oleg Karpenkov, Jan Schepers, Brigitte Servatius
In this paper we discuss several results about the structure of the configuration space of two-dimensional tensegrities with a small number of points. We briefly describe the techn…
Unimodality questions for integrally closed lattice polytopes
Jan Schepers, Leen Van Langenhoven
It is a famous open question whether every integrally closed reflexive polytope has a unimodal Ehrhart delta-vector. We generalize this question to arbitrary integrally closed latt…
Gorenstein polytopes and their stringy E-functions
Benjamin Nill, Jan Schepers
Inspired by ideas from algebraic geometry, Batyrev and the first named author have introduced the stringy E-function of a Gorenstein polytope. We prove that this a priori rational…
Geometry of configuration spaces of tensegrities
Franck Doray, Oleg Karpenkov, Jan Schepers
Consider a graph G with n vertices. In this paper we study geometric conditions for an n-tuple of points in R^d to admit a tensegrity with underlying graph G. We introduce and inve…