Cohomology of abelian arrangements

DOI10.1090/proc/12937zbMath1346.52008arXiv1310.4866OpenAlexW1559674003MaRDI QIDQ2802126

Christin Bibby

Publication date: 25 April 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4866

zbMATH Keywords

configuration spaceabelian arrangement

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Spectral sequences in algebraic topology (55T99) (Co)homology theory in algebraic geometry (14F99)

Related Items (22)

Combinatorial covers and vanishing of cohomology ⋮ Combinatorics of orbit configuration spaces ⋮ Deletion-restriction in toric arrangements ⋮ Poincaré polynomial of elliptic arrangements is not determined by the Tutte polynomial ⋮ The cohomology rings of the unordered configuration spaces of elliptic curves ⋮ Abelian duality and propagation of resonance ⋮ Betti and Hodge numbers of configuration spaces of a punctured elliptic curve from its zeta functions ⋮ Group actions on semimatroids ⋮ On the cohomology of arrangements of subtori ⋮ Formality and finiteness in rational homotopy theory ⋮ Around the Tangent Cone Theorem ⋮ On the length of perverse sheaves on hyperplane arrangements ⋮ Topology of arrangements and representation stability. Abstracts from the workshop held January 14--20, 2018 ⋮ The homotopy type of elliptic arrangements ⋮ LOCAL SYSTEMS ON COMPLEMENTS OF ARRANGEMENTS OF SMOOTH, COMPLEX ALGEBRAIC HYPERSURFACES ⋮ The integer cohomology algebra of toric arrangements ⋮ Representation stability for the cohomology of arrangements associated to root systems ⋮ The Orlik-Solomon model for hypersurface arrangements ⋮ Orlik-Solomon type presentations for the cohomology algebra of toric arrangements ⋮ Two examples of toric arrangements ⋮ Combinatorics of toric arrangements ⋮ Stanley-Reisner rings for symmetric simplicial complexes, \(G\)-semimatroids and abelian arrangements

Cites Work

• On the geometry of toric arrangements
• The algebraic topology of smooth algebraic varieties
• On the rational homotopy type of configuration spaces
• Configuration spaces of algebraic varieties
• A Tutte polynomial for toric arrangements
• The Mixed Hodge Structure of the Complement to an Arbitrary Arrangement of Affine Complex Hyperplanes is Pure
• Purity, Formality, and Arrangement Complements
• Around the Tangent Cone Theorem
• Cohomology of the complement to an elliptic arrangement
• The Orlik-Solomon model for hypersurface arrangements
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