Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896728 | Journal of Functional Analysis | 2018 | 28 Pages |
Abstract
In this article, we give a complex-geometric proof of the Alexandrov-Fenchel inequality without using toric compactifications. The idea is to use the Legendre transform and develop the Brascamp-Lieb proof of the Prékopa theorem. New ingredients in our proof include an integration of Timorin's mixed Hodge-Riemann bilinear relation and a mixed norm version of Hörmander's L2-estimate, which also implies a non-compact version of the KhovanskiÄ-Teissier inequality.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Xu Wang,