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arXiv 2203.01533math.COmath.MG
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组合地图集简介

Introduction to the combinatorial atlas

Swee Hong Chan, Igor Pak

摘要:

我们给出了最近由Anari证明的强梅森猜想的初等自含证明。al.(arXiv:1811.01600)和Brändén-Huh(arXiv:1902.03719),以及经典的Alexandrov-Fenchel不等式。这两个证明都使用了作者最近引入的组合图谱技术(arXiv:2110.10740)。我们还给出了组合地图集和洛伦兹多项式之间的形式关系。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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