2024-MPS-509

Boundary h*-Polynomials of Lattice Zonotopes

Author: Lok Yam

Faculty Supervisor: Matthias Beck

Department: Mathematics

The Ehrhart series of a polytope P is the generating function whose nth coefficient enumerates the lattice points in the nth dilate of P. The Ehrhart series of P can be written as a rational function, whose numerator we call the h-polynomial of P. Bajo and Beck studied the h-polynomial of the boundary of a polytope. We apply their techniques to zonotopes, or polytopes that are centrally symmetric. In particular, we show that the boundary h*-polynomial of a zonotope is unimodal.