Lattice polytopes, Hecke operators, and the Ehrhart polynomial

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Let P be a simple lattice polytope. We define an action of the Hecke operators on E (P), the Ehrhart polynomial of P, and describe their effect on the coefficients of E (P). We also describe how the Brion-Vergne formula transforms under the Hecke operators for nonsingular lattice polytopes P.
24 pp

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Combinatorics, Number Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/71379

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405573
 http://arxiv.org/abs/math/0405573

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arXiv