Cohomology of complements of toric arrangements associated with root systems

DOI10.1007/s40687-021-00305-zzbMath1490.14087arXiv1601.01857OpenAlexW4206730601MaRDI QIDQ2071034

Olof Bergvall

Publication date: 25 January 2022

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.01857

zbMATH Keywords

Weyl groupsroot systemstoric arrangements

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Configurations and arrangements of linear subspaces (14N20)

Related Items

Classification of singular del Pezzo surfaces over finite fields ⋮ Cohomology of moduli spaces of Del Pezzo surfaces ⋮ Arithmetic and topology of classical structures associated with plane quartics ⋮ Equivariant Burnside groups and toric varieties ⋮ Equivariant cohomology of moduli spaces of genus three curves with level two structure

Uses Software

• SageMath

Cites Work

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• On the geometry of toric arrangements
• Combinatorics and topology of toric arrangements defined by root systems
• The cohomology ring of the colored braid group
• Cohomology of the toric arrangement associated with \(A_n\)
• Combinatorics and Poincaré polynomials of hyperplane complements for exceptional Weyl groups
• Binomial ideals
• Equivariant cohomology of moduli spaces of genus three curves with level two structure
• The multivariate arithmetic Tutte polynomial
• Birational geometry of cluster algebras
• Matroids Over a Ring
• On the Poincaré Series Associated with Coxeter Group Actions on Complements of Hyperplanes
• The Poincaré polynomial of an mp arrangement
• A toral configuration space and regular semisimple conjugacy classes
• Del Pezzo Moduli via Root Systems
• The equivariant Euler characteristic of $\mathcal{A}3[2$]
• G-Tutte Polynomials and Abelian Lie Group Arrangements
• The Arithmetic Tutte Polynomials of the Classical Root Systems
• Cohomology of moduli spaces of Del Pezzo surfaces

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