73 citations · 326 across the 36 of their papers we have counts for
4 papers · 1 filter
Inscribable fans I: Inscribed cones and virtual polytopes
Sebastian Manecke, Raman Sanyal
We investigate polytopes inscribed into a sphere that are normally equivalent (or strongly isomorphic) to a given polytope . We show that the associated space of polytopes, call…
Geometric Inequalities for Anti-Blocking Bodies
Shiri Artstein-Avidan, Shay Sadovsky, Raman Sanyal
We study the class of (locally) anti-blocking bodies as well as some associated classes of convex bodies. For these bodies, we prove geometric inequalities regarding volumes and mi…
Coprime Ehrhart theory and counting free segments
Sebastian Manecke, Raman Sanyal
A lattice polytope is "free" (or "empty") if its vertices are the only lattice points it contains. In the context of valuation theory, Klain (1999) proposed to study the functions…
Spectral Polyhedra
Raman Sanyal, James Saunderson
A "spectral convex set" is a collection of symmetric matrices whose range of eigenvalues form a symmetric convex set. Spectral convex sets generalize the Schur-Horn orbitopes studi…