2 citations · 2 across the 3 of their papers we have counts for
4 papers
Webs of stars or how to triangulate free sums of point configurations
Benjamin Assarf, Michael Joswig, Julian Pfeifle
The triangulations of point configurations which decompose as a free sum are classified in terms of the triangulations of the summands. The methods employ two new kinds of partiall…
A bound for the splitting of smooth Fano polytopes with many vertices
Benjamin Assarf, Benjamin Nill
The classification of toric Fano manifolds with large Picard number corresponds to the classification of smooth Fano polytopes with large number of vertices. A smooth Fano polytope…
Computing convex hulls and counting integer points with polymake
Benjamin Assarf, Ewgenij Gawrilow, Katrin Herr +4
The main purpose of this paper is to report on the state of the art of computing integer hulls and their facets as well as counting lattice points in convex polytopes. Using the po…
Smooth Fano Polytopes With Many Vertices
Benjamin Assarf, Michael Joswig, Andreas Paffenholz
We classify the d-dimensional simplicial, terminal, and reflexive polytopes with at least 3d-2 vertices. In particular, it turns out that these are all smooth Fano polytopes. This…