论文标题
组合地图集的简介
Introduction to the combinatorial atlas
论文作者
论文摘要
我们给出了Anari AT最近证明的强大梅森猜想的基本独立的证据。 al。 (Arxiv:1811.01600)和Brändén-huh(Arxiv:1902.03719),以及经典的Alexandrov- fenchel不平等。这两种证明都使用作者最近引入的组合图集技术(ARXIV:2110.10740)。我们还在组合地图集与洛伦兹多项式之间建立了形式关系。
We give elementary self-contained proofs of the strong Mason conjecture recently proved by Anari at. al. (arXiv:1811.01600) and Brändén--Huh (arXiv:1902.03719), and of the classical Alexandrov--Fenchel inequality. Both proofs use the combinatorial atlas technology recently introduced by the authors (arXiv:2110.10740). We also give a formal relationship between combinatorial atlases and Lorentzian polynomials.