Combinatorics and topology of toric arrangements defined by root systems

被引：0
作者：
Moci, Luca [1 ]
机构：
[1] Dipartimento di Matematica, Università degli Studi Roma Tre, 00146 Roma, Largo San Leonardo Murialdo
来源：
Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni | 2008年 / 19卷 / 04期
关键词：
Affine Dynkin diagram; Poincaré; polynomial; Regular points; Root system; Toric arrangement;
D O I：
10.4171/RLM/526
中图分类号：
学科分类号：
摘要：
Given the toric (or toral) arrangement defined by a root system φ, we classify and count its components of each dimension. We show how to reduce to the case of 0-dimensional components, and in this case we give an explicit formula involving the maximal subdiagrams of the affine Dynkin diagram of φ. Then we compute the Euler characteristic and the Poincaré polynomial of the complement of the arrangement, which is the set of regular points of the torus.
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页码：293 / 308
页数：15
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