MathRepo, located at https://mathrepo. mis. mpg. de, is an online repository for mathematical
research data. In mathematics, research data comes in many different flavours. For instance …

We continue the study of intersection bodies of polytopes, focusing on the behavior of IP
under translations of P. We introduce an affine hyperplane arrangement and show that the …

We study the structure of the set of all possible affine hyperplane sections of a convex
polytope. We present two different cell decompositions of this set, induced by hyperplane …

This paper presents an algorithm to maximize the volume of an affine slice through a given
semialgebraic set. This slice-volume task is formulated as an infinite-dimensional linear …

In this thesis we study problems that lie at the intersection of convex geometry and algebraic
geometry. The main objects of interest are semialgebraic convex bodies: convex, compact …

Correction to: Intersection bodies of polytopes | Beiträge zur Algebra und Geometrie / Contributions
to Algebra and Geometry Skip to main content SpringerLink Account Menu Find a journal …

This dissertation presents recent contributions in tropical geometry with a view towards
positivity, and on certain semialgebraic sets which are constructed from polytopes. Tropical …

OSCAR(Open Source Computer Algebra Research) is a new open-source computer
algebra system that is written in the Julia programming language [6]. Wolfram Decker, Claus …

EXAMPLES OF SEMIALGEBRAIC CONVEX BODIES WITH NON-SEMIALGEBRAIC
INTERSECTION BODY Let K ⊆ R n be a convex body. The intersectio Page 1 EXAMPLES OF …