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BIBTEX RIS

Ehrhart quasi-period collapse in rational polygons

2017; Elsevier BV; Volume: 150; Linguagem: Inglês

10.1016/j.jcta.2017.03.002

ISSN

1096-0899

Autores

Tyrrell B. McAllister, Matthew Moriarity,

Tópico(s)

Advanced Algebra and Geometry

Resumo

In 1976, P. R. Scott characterized the Ehrhart polynomials of convex integral polygons. We study the same question for Ehrhart polynomials and quasi-polynomials of non-integral convex polygons. Turning to the case in which the Ehrhart quasi-polynomial has nontrivial quasi-period, we determine the possible minimal periods of the coefficient functions of the Ehrhart quasi-polynomial of a rational polygon.

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