Results 11 to 20 of about 58 (47)
Graded Linearity of Stanley–Reisner Ring of Broken Circuit Complexes
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 This paper introduces two new notions of graded linear resolution and graded linear quotients, which generalize the concepts of linear resolution property and linear quotient for modules over the polynomial ring A = k[x1, …, xn]. Besides, we compare graded linearity with componentwise linearity in general.
Mohammad Reza-Rahmati +2 more
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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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The freeness of Ish arrangements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The Ish arrangement was introduced by Armstrong to give a new interpretation of the $q; t$-Catalan numbers of Garsia and Haiman. Armstrong and Rhoades showed that there are some striking similarities between the Shi arrangement and the Ish arrangement ...
Takuro Abe +2 more
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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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