Godbersen's conjecture for locally anti-blocking bodies

Abstract

In this note we give a short proof of Godbersen's conjecture for the class of locally anti-blocking bodies. We show that all equality cases amongst locally anti-blocking bodies are for simplices, further supporting the conjecture. The proof of equality cases introduces a useful calculation of mixed volumes of aligned simplices.

arXiv comment11 pages. Edited to include references [13] and [20]