Results 21 to 30 of about 58 (47)
Supersolvability and Freeness for $$\psi $$ ψ -Graphical Arrangements [PDF]
Discrete & Computational Geometry, 2015 6 ...
Mu, Lili, Stanley, Richard P
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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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THE BROKEN CIRCUIT COMPLEX AND THE HYPERSOLVABLE PARTITION COMPLEX
مجلة علوم ذي قار, 2019 In this paper we construct the broken circuit complex of a hypersolvable r -arrangement ? by using the hypersolvable partition analogue and the hypersolvable ordering which respects the hypersolvable structure .We used the minimal informations that ...
Hana ' M .Ali, Abid Ali Al-Ta'ai
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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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Free arrangements of hyperplanes and supersolvable lattices
Advances in Mathematics, 1984 The authors investigate the relation between two different concepts that come up with an arrangement A of hyperplanes through the origin in \({\mathbb{C}}^{\ell +1}\). On one hand, A is said to be free if the corresponding module of logarithmic vector fields is a free module.
Jambu, Michel, Terao, Hiroaki
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On supersolvable reflection arrangements
, 2012 13 pages, updated references, to appear in Proc. Amer. Math. Soc. v3.
Hoge, Torsten, Roehrle, Gerhard
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Inductive and divisional posets
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract 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 divisional posets.
Roberto Pagaria +3 more
wiley +1 more source
Supersolvability and the Koszul property of root ideal arrangements [PDF]
Proceedings of the American Mathematical Society, 2015 13 pages, 3 ...
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Koszulness and supersolvability for Dirichlet arrangements
Proceedings of the American Mathematical Society, 2019 We prove that the cone over a Dirichlet arrangement is supersolvable if and only if its Orlik-Solomon algebra is Koszul. This was previously shown for four other classes of arrangements. We exhibit an infinite family of cones over Dirichlet arrangements that are combinatorially distinct from these other four classes.
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