Ehrhart Limits

Published 30 Nov 2022 in math.CO | (2211.17129v2)

Abstract: We introduce the definition of an Ehrhart limit, that is, a formal power series with integer coefficients that is the limit in the ring of formal power series of a sequence of Ehrhart $h^{*$-polynomials.} We identify a variety of examples of sequences of polytopes that yield Ehrhart limits, with a focus on reflexive polytopes and simplices.

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