Results 11 to 20 of about 60 (45)
Supersolvable reflection arrangements [PDF]
Proceedings of the American Mathematical Society, 2014 Let A = ( A
Hoge, Torsten, Röhrle, Gerhard
openaire +1 more source
Supersolvability and Freeness for $$\psi $$ ψ -Graphical Arrangements [PDF]
Discrete & Computational Geometry, 2015 6 ...
Mu, Lili, Stanley, Richard P
openaire +5 more sources
Real and complex supersolvable line arrangements in the projective plane [PDF]
Journal of Algebraic Combinatorics, 2020 17 pages; comments ...
Hanumanthu, Krishna, Harbourne, Brian
openaire +3 more sources
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
openaire +3 more sources
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
openaire +2 more sources
On supersolvable reflection arrangements
, 2012 13 pages, updated references, to appear in Proc. Amer. Math. Soc. v3.
Hoge, Torsten, Roehrle, Gerhard
openaire +2 more sources
Supersolvability and the Koszul property of root ideal arrangements [PDF]
Proceedings of the American Mathematical Society, 2015 13 pages, 3 ...
openaire +2 more sources
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.
openaire +3 more sources
The $\textbf{nbc}$ minimal complex of supersolvable arrangements
, 2015 In this paper we give a very natural description of the bijections between the minimal CW-complex homotopy equivalent to the complement of a supersolvable arrangement $\mathcal{A}$, the $\textbf{nbc}$ basis of the Orlik-Solomon algebra associated to $\mathcal{A}$ and the set of chambers of $\mathcal{A}$.
Settepanella, Simona, Torielli, Michele
openaire +2 more sources
Monodromy of supersolvable toric arrangements
We study topological aspects of supersolvable abelian arrangements, toric arrangements in particular. The complement of such an arrangement sits atop a tower of fiber bundles, and we investigate the relationship between these bundles and bundles involving classical configuration spaces.
Bibby, Christin +2 more
openaire +2 more sources