Discriminantal arrangements, fiber polytopes and formality

DOI10.1023/A:1008601810383zbMath0884.52013MaRDI QIDQ1361458

Keith A. Brandt, Margaret M. Bayer

Publication date: 19 March 1998

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

polytopearrangements of hyperplanesfiber polytopediscriminantal arrangementsgeneric arrangements

Mathematics Subject Classification ID

Other designs, configurations (05B30) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (21)

Logarithmic vector fields and freeness of divisors and arrangements: new perspectives and applications. Abstracts from the workshop held January 24--30, 2021 (online meeting) ⋮ Geometric bijections for regular matroids, zonotopes, and Ehrhart theory ⋮ Flag arrangements and triangulations of products of simplices ⋮ Discriminantal arrangement, \(3{\times}3\) minors of Plücker matrix and hypersurfaces in Grassmannian \(\mathrm{Gr}(3, n)\) ⋮ On intersection lattices of hyperplane arrangements generated by generic points ⋮ Modifications of hyperplane arrangements ⋮ Monotone paths on cross-polytopes ⋮ Likelihood degenerations ⋮ A classification of combinatorial types of discriminantal arrangements ⋮ Ringel duality for perverse sheaves on hypertoric varieties ⋮ Hypertoric category \(\mathcal O\). ⋮ Relation spaces of hyperplane arrangements and modules defined by graphs of fiber zonotopes ⋮ Critical set of the master function and characteristic variety of the associated Gauss-Manin differential equations ⋮ Convex polytopes and enumeration ⋮ Line-closed matroids, quadratic algebras, and formal arrangments ⋮ Parallel translates of represented matroids ⋮ On the freeness of equisingular deformations of plane curve singularities ⋮ On the Orlik-Terao ideal and the relation space of a hyperplane arrangement ⋮ On the enumeration of a certain type of hyperplane arrangements ⋮ Pappus's Theorem in Grassmannian Gr(3, ℂ^n) ⋮ On the non-very generic intersections in discriminantal arrangements

Cites Work

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• Fiber polytopes
• Free arrangements and relation spaces
• Free arrangements and rhombic tilings
• Higher Bruhat orders and cyclic hyperplane arrangements
• The First Two Obstructions to the Freeness of Arrangements
• A Note on Discriminantal Arrangements

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