Lattice polytopes of degree 2

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:117

Article

Treutlein, Jaron

关键词: Lattice polytope;    h*-polynomial;    Scott's theorem;   

DOI  :  10.1016/j.jcta.2009.07.006

来源: Elsevier

【 摘 要 】

A theorem of Scott gives an tipper bound for the normalized volume of lattice polygons with exactly i > 0 interior lattice points. We will show that the same bound is true for the normalized Volume of lattice polytopes of degree 2 even in higher dimensions. In particular, there is only a finite number of quadratic polynomials with fixed leading coefficient being the h*-polynomial of a lattice polytope. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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