Complex integrals and Kuperberg's proof of the Bourgain-Milman theorem

Abstract

We give a proof of the Bourgain-Milman theorem using complex methods. The proof is inspired by Kuperberg's, but considerably shorter.

arXiv comment7 pages. Correction of proof of Lemma 2.2 plus some minor changes. In the final version there are additional minor corrections and revisions after comments by referees. To appear in Advances of Mathematics