A short note on Godbersen's Conjecture

TL;DR

This paper improves the existing bounds related to Godbersen's conjecture and explores implications for unbalanced difference bodies, advancing understanding in this mathematical area.

Contribution

It provides a tighter bound on Godbersen's conjecture and discusses its implications for unbalanced difference bodies, offering new insights.

Findings

Improved the best bound in Godbersen's conjecture

Established implications for unbalanced difference bodies

Enhanced understanding of geometric inequalities

Abstract

In this short note we improve the best to date bound in Godbersen's conjecture, and show some implications for unbalanced difference bodies.