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Klein polyhedra and lattices with positive norm minima

Klein polyhedra and lattices with positive norm minima

A Klein polyhedron is defined as the convex hull of nonzero lattice points inside an orthant of ℝ n . It generalizes the concept of continued fraction. In this paper facets and edge stars of vertices of a Klein polyhedron are considered as multidimensional analogs of partial quotients and quantitative …