Combinatorics and topology of toric arrangements defined by root systems

DOI10.4171/RLM/526zbMath1194.14077arXiv0912.5458MaRDI QIDQ993412

Luca Moci

Publication date: 19 September 2010

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.5458

zbMATH Keywords

torusregularrootDynkin

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (10)

Vanishing results for the cohomology of complex toric hyperplane complements ⋮ Group actions on semimatroids ⋮ A type \(B\) analog of the Whitehouse representation ⋮ Projective wonderful models for toric arrangements ⋮ Ehrhart polynomial and arithmetic Tutte polynomial ⋮ The homotopy type of elliptic arrangements ⋮ The homotopy type of toric arrangements ⋮ Minimality of toric arrangements ⋮ Cohomology of complements of toric arrangements associated with root systems ⋮ A Tutte polynomial for toric arrangements

Cites Work

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• On the geometry of toric arrangements
• A curious identity and the volume of the root spherical simplex. With an appendix by John R. Stembridge.
• Volume computation for polytopes and partition functions for classical root systems
• Cohomology of affine Artin groups and applications
• Arrangement of hyperplanes. I: Rational functions and Jeffrey-Kirwan residue

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