Translated tori in the characteristic varieties of complex hyperplane arrangements

DOI10.1016/S0166-8641(01)00052-9zbMath1021.32009arXivmath/9912227MaRDI QIDQ5960438

Alexander I. Suciu

Publication date: 7 April 2002

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9912227

zbMATH Keywords

Orlik-Solomon algebracharacteristic varietyhyperplane arrangement

Mathematics Subject Classification ID

Determinantal varieties (14M12) Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Fundamental group, presentations, free differential calculus (57M05)

Related Items (19)

On admissible rank one local systems ⋮ Triples of arrangements and local systems ⋮ Torsion in Milnor fiber homology ⋮ Around the Tangent Cone Theorem ⋮ On the Twisted Cohomology of Affine Line Arrangements ⋮ Some computations on the characteristic variety of a line arrangement ⋮ Hyperplane arrangements and Milnor fibrations ⋮ On the admissibility of certain local systems ⋮ Completely reducible hypersurfaces in a pencil ⋮ Combinatorial Morse theory and minimality of hyperplane arrangements ⋮ Characteristic varieties and logarithmic differential 1-forms ⋮ Resonant bands and local system cohomology groups for real line arrangements ⋮ The Orlik-Solomon complex and Milnor fibre homology ⋮ The Morse complex of a line arrangement ⋮ Admissible local systems for a class of line arrangements ⋮ Sigma-invariants and tropical varieties ⋮ ON THE INTERSECTION OF RATIONAL TRANSVERSAL SUBTORI ⋮ The chamber basis of the Orlik-Solomon algebra and Aomoto complex ⋮ Multivariable Alexander invariants of hypersurface complements

Uses Software

• GAP
• Macaulay2

Cites Work

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