On the number of points in a lattice polytope

Details On the number of points in a lattice polytope On the number of points in a lattice polytope

2010-04-09

arxiv.org/abs/1004.1661v2

Mathematics

Combinatorics

two pages

Scientific paper

In this article we will show that for every natural d and n>1 there exists a
natural number t such that every d-dimensional simplicial complex T with
vertices in d-dimensional lattice scaled in t times contains exactly $\chi (T)$
modulo n lattice points, where $\chi (T)$ is the Euler characteristic of
$\mathcal{T}$.

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