29 citations · 215 across the 37 of their papers we have counts for
5 papers · 1 filter
Interlacing Ehrhart Polynomials of Reflexive Polytopes
Akihiro Higashitani, Mario Kummer, Mateusz Michałek
It was observed by Bump et al. that Ehrhart polynomials in a special family exhibit properties similar to the Riemann ζ function. The construction was generalized by Matsui et al.…
The Chow form of a reciprocal linear space
Mario Kummer, Cynthia Vinzant
A reciprocal linear space is the image of a linear space under coordinate-wise inversion. These fundamental varieties describe the analytic centers of hyperplane arrangements and a…
On Deformations of Hyperbolic Varities
Mario Kummer, Eli Shamovich
In this paper we study flat deformations of real subschemes of , hyperbolic with respect to a fixed linear subspace, i.e. admitting a finite surjective and real fiber…
The geometry of rank-one tensor completion
Thomas Kahle, Kaie Kubjas, Mario Kummer +1
The geometry of the set of restrictions of rank-one tensors to some of their coordinates is studied. This gives insight into the problem of rank-one completion of partial tensors.…
On the real rank of monomials
Enrico Carlini, Mario Kummer, Alessandro Oneto +1
In this paper we study the real rank of monomials and we give an upper bound for the real rank of all monomials. We show that the real and the complex ranks of a monomial coincide…