Results 1 to 10 of about 58 (48)
Supersolvable orders and inductively free arrangements
Open Mathematics, 2017 In this paper, we define the supersolvable order of hyperplanes in a supersolvable arrangement, and obtain a class of inductively free arrangements according to this order.
Ruimei Gao
exaly +3 more sources
Gallery Posets of Supersolvable Arrangements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We introduce a poset structure on the reduced galleries in a supersolvable arrangement of hyperplanes. In particular, for Coxeter groups of type A or B, we construct a poset of reduced words for the longest element whose Hasse diagram is the graph of ...
Thomas McConville
doaj +4 more sources
Worpitzky-compatible subarrangements of braid arrangements and cocomparability graphs
Comptes Rendus. Mathématique, 2021 The class of Worpitzky-compatible subarrangements of a Weyl arrangement together with an associated Eulerian polynomial was recently introduced by Ashraf, Yoshinaga and the first author, which brings the characteristic and Ehrhart quasi-polynomials into ...
Tran, Tan Nhat, Tsuchiya, Akiyoshi
doaj +1 more source
Supersolvable reflection arrangements [PDF]
Proceedings of the American Mathematical Society, 2014 Let A = ( A
Hoge, Torsten, Röhrle, Gerhard
openaire +1 more source
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
wiley +1 more source
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
openaire +2 more sources
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
doaj +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
On complex supersolvable line arrangements
Journal of Algebra, 2020 v.9: Takuro Abe joins as a co-author, after proving that the conjectural upper bounds 3m-3 holds indeed.
Takuro Abe, Alexandru Dimca
openaire +3 more sources