Faithful actions from hyperplane arrangements
نویسندگان
چکیده
منابع مشابه
Koszul algebras from graphs and hyperplane arrangements
This work was started as an attempt to apply theory from noncommutative graded algebra to questions about the holonomy algebra of a hyperplane arrangement. We soon realized that these algebras and their deformations, which form a class of quadratic graded algebras, have not been studied much and yet are interesting to algebra, arrangement theory and combinatorics. Let X be a topological space h...
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We prove that for any finite real hyperplane arrangement the average projection volumes of the maximal cones are given by the coefficients of the characteristic polynomial of the arrangement. This settles the conjecture of Drton and Klivans that this held for all finite real reflection arrangements. The methods used are geometric and combinatorial. As a consequence we determine that the angle s...
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2018
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2018.22.3395