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math.MG2021
Common tangents to convex bodies
Federico Castillo, Joseph Doolittle, Jose Alejandro Samper
It is well-known since the time of the Greeks that two disjoint circles in the plane have four common tangent lines. Cappell et al. proved a generalization of this fact for properl…
math.MG2015
A Geometric Lower Bound Theorem
Karim Adiprasito, Eran Nevo, José Alejandro Samper
We resolve a conjecture of Kalai relating approximation theory of convex bodies by simplicial polytopes to the face numbers and primitive Betti numbers of these polytopes and their…