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math.MG2023
Lattice Reduced and Complete Convex Bodies
Giulia Codenotti, Ansgar Freyer
The purpose of this paper is to study convex bodies for which there exists no convex body of the same lattice width. Such bodies shall be called ``lattic…
math.MG2023★ 1 cited
Polynomial Bounds in Koldobsky's Discrete Slicing Problem
Ansgar Freyer, Martin Henk
In 2013, Koldobsky posed the problem to find a constant , depending only on the dimension , such that for any origin-symmetric convex body there exis…