Non-central sections of the l1-ball

We determine the maximal non-central hyperplane sections of the l1n-ball if the fixed distance of the hyperplane to the origin is between 13 and 12. This adds to a result of Liu and Tkocz who considered the distance range between 12 and 1. For n≥4, the maximal sections are parallel to the (n−1)-dimensional coordinate planes. We also study non-central sections of the complex l∞2-ball, where the formulas are more complicated than in the real case. Also, the extrema are partially different compared to the real case.