8 citations · 9 across the 5 of their papers we have counts for
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Quasi-period collapse and GL_n(Z)-scissors congruence in rational polytopes
Christian Haase, Tyrrell B. McAllister
Quasi-period collapse occurs when the Ehrhart quasi-polynomial of a rational polytope has a quasi-period less than the denominator of that polytope. This phenomenon is poorly under…
Lattices generated by skeletons of reflexive polytopes
Christian Haase, Benjamin Nill
Lattices generated by lattice points in skeletons of reflexive polytopes are essential in determining the fundamental group and integral cohomology of Calabi-Yau hypersurfaces. Her…
A bijection between the d-dimensional simplices with distances in {1,2} and the partitions of d+1
Christian Haase, Sascha Kurz
We give a construction for the d-dimensional simplices with all distances in {1,2} from the set of partitions of d+1.
The reflexive dimension of a lattice polytope
Christian Haase, Ilarion V. Melnikov
The reflexive dimension refldim(P) of a lattice polytope P is the minimal d so that P is the face of some d-dimensional reflexive polytope. We show that refldim(P) is finite for ev…
Polar decomposition and Brion's theorem
Christian Haase
In this note we point out the relation between Brion's formula for the lattice point generating function of a convex polytope in terms of the vertex cones [Brion1988] on the one ha…
Examples and counterexamples for Perles' conjecture
Christian Haase, Günter M. Ziegler
The combinatorial structure of a d-dimensional simple convex polytope can be reconstructed from its abstract graph [Blind & Mani 1987, Kalai 1988]. However, no polynomial/efficient…