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arXiv · 2105.11677

The distribution of roots of Ehrhart polynomials for the dual of root polytopes of type C

Akihiro Higashitani·Yumi Yamada
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Abstract

In this paper, we study the Ehrhart polynomial of the dual of the root polytope of type C of dimension $d$, denoted by $C_d^*$. We prove that the roots of the Ehrhart polynomial of $C_d^*$ have the same real part $-1/2$, and we also prove that the Ehrhart polynomials of $C_d^*$ for $d=1,2,\cdots$ has the interlacing property.

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Akihiro Higashitani, Yumi Yamada. 2022-11-18. The distribution of roots of Ehrhart polynomials for the dual of root polytopes of type C. https://arxiv.org/abs/2105.11677

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