arXiv 2008.008382020-08math.CVmath.MG

复积分与Bourgain-Milman定理的Kuperberg证明

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

Bo Berndtsson

备注：: 7 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

摘要：

本文用复合形法证明了Bourgain-Milman定理。这个证明受到了Kuperberg的启发，但相当短。

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

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