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- W1506822688 abstract "The conjecture on roots of Ehrhart polynomials, stated by Matsui et al. cite[Conjecture 4.10]{MHNOH}, says that all roots $alpha$ of the Ehrhart polynomial of a Gorenstein Fano polytope of dimension $d$ satisfy $-frac{d}{2} leq Re(alpha) leq frac{d}{2} -1$. In this paper, we observe the behaviors of roots of SSNN polynomials which are a wider class of the polynomials containing all the Ehrhart polynomials of Gorenstein Fano polytopes. As a result, we verify that this conjecture is true when the roots are real numbers or when $d leq 5$." @default.
- W1506822688 created "2016-06-24" @default.
- W1506822688 creator A5082935009 @default.
- W1506822688 date "2011-12-25" @default.
- W1506822688 modified "2023-09-27" @default.
- W1506822688 title "Roots of Ehrhart polynomials and symmetric $delta$-vectors" @default.
- W1506822688 cites W135008847 @default.
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- W1506822688 hasPublicationYear "2011" @default.
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