Results 11 to 20 of about 94 (68)
Supersolvability and Freeness for $$\psi $$ ψ -Graphical Arrangements [PDF]
Discrete & Computational Geometry, 2015 6 ...
Mu, Lili, Stanley, Richard P
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Supersolvability and the Koszul property of root ideal arrangements [PDF]
Proceedings of the American Mathematical Society, 2015 13 pages, 3 ...
Hultman, Axel,
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On an explicit correspondence between \(nbc\)-basis, chambers and minimal complex for real supersolvable arrangements [PDF]
Australas. J Comb., 2019 The authors give a very natural description of the bijections between the set of cells in the minimal CW-complex homotopy equivalent to the complement of a complexified real supersolvable arrangement $\mathcal{A}$, the \textbf{nbc}-basis (non broken circuit basis) of the Orlik-Solomon algebra associated to $\mathcal{A}$ and the set of chambers of ...
Settepanella, Simona, Torielli, Michele
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Supersolvable reflection arrangements [PDF]
Proceedings of the American Mathematical Society, 2014 Let A = ( A
Hoge, Torsten, Röhrle, Gerhard
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Supersolvable simplicial arrangements [PDF]
Advances in Applied Mathematics, 2019 Simplicial arrangements are classical objects in discrete geometry. Their classification remains an open problem but there is a list conjectured to be complete at least for rank three. A further important class in the theory of hyperplane arrangements with particularly nice geometric, algebraic, topological, and combinatorial properties are the ...
Michael Cuntz, Paul Mücksch
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Real and complex supersolvable line arrangements in the projective plane [PDF]
Journal of Algebraic Combinatorics, 2020 17 pages; comments ...
Hanumanthu, Krishna, Harbourne, Brian
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The Active Bijection between Regions and Simplices in Supersolvable Arrangements of Hyperplanes [PDF]
The Electronic Journal of Combinatorics, 2006 Comparing two expressions of the Tutte polynomial of an ordered oriented matroid yields a remarkable numerical relation between the numbers of reorientations and bases with given activities. A natural activity preserving reorientation-to-basis mapping compatible with this relation is described in a series of papers by the present authors.
Gioan, Emeric, Las Vergnas, Michel
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Simple Geometric Characterization of Supersolvable Arrangements
Rocky Mountain Journal of Mathematics, 2001 An arrangement of hyperplanes is a finite collection of \(\mathbb{C}\)-linear subspaces of dimension \(d-1\) in \(\mathbb{C}^d.\) Let \(A\) be an arrangement in \(\mathbb{C}^3\) and \(A^*\) be the natural projective arrangements in \(\mathbb{C}\mathbb{P}^2\) associated to it.
Jiang, Tan +2 more
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On arrangements of hyperplanes from connected subgraphs
, 2022 We investigate arrangements of hyperplanes whose normal vectors are given by connected subgraphs of a fixed graph. These include the resonance arrangement and certain ideal subarrangements of Weyl arrangements.
Kühne, Lukas +2 more
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Inductive and divisional posets
, 2023 We call a poset factorable if its characteristic polynomial has all positive integer roots. Inspired by inductive and divisional freeness of a central hyperplane arrangement, we introduce and study the notion of inductive posets and their superclass of ...
Pismataro, Maddalena +3 more
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