Star-shaped complexes and Ehrhart polynomials
نویسندگان
چکیده
منابع مشابه
Star-shaped Complexes and Ehrhart Polynomials
We study Ehrhart polynomials of star-shaped triangulations of balls by means of Cohen-Macaulay rings and canonical modules. A polyhedral complex F in RN is a finite set of convex polytopes in RN such that (1.1) if & £ T and & is a face of &, then & e I\ and (1.2) if &, & £ T, then 9° n<? is a face of 9° and of S. We are concerned with a polyhedral complex T in RN which satisfies the following c...
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Let A be a subspace arrangement and let (A; t) be the characteristic polynomial of its intersection lattice L(A). We show that if the subspaces in A are taken from L(Bn), where Bn is the type B Weyl arrangement, then (A; t) counts a certain set of lattice points. This is the only known combinatorial interpretation of this polynomial in the subspace case. One can use this result to study the par...
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One considers weighted sums over points of lattice polytopes, where the weight of a point v is the monomial q for some linear form λ. One proposes a q-analogue of the classical theory of Ehrhart series and Ehrhart polynomials, including Ehrhart reciprocity and involving evaluation at the q-integers.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1995
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1995-1249883-4