q-analogues of Ehrhart polynomials
Résumé
One considers weighted sums over points of lattice polytopes, where the weight of a point v is the monomial q^f(v) for some linear form f. 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.
Domaines
Algèbres quantiques [math.QA]
Origine : Fichiers produits par l'(les) auteur(s)