Results 1 to 10 of about 24,955 (156)
Area of reflection of longitudinal waves in multilayer Fibonacci arrangements
Results in Physics, 2018 In this article, we study the total reflection in 1D phonic crystals in quasiperiodic Fibonacci type arrangements of solid/solid layers. It was found that the reflection occurs in an area centered at a normalized frequency of 2π, and an angle of ...
L. Castro-Arce +3 more
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Supersolvable restrictions of reflection arrangements
Journal of Combinatorial Theory - Series A, 2014 16 pages; final version, to appear in Journal of Combinatorial Theory, Series ...
Gerhard Roehrle, Torsten Hoge
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Reflection arrangements are hereditarily free [PDF]
Tohoku Mathematical Journal, 2013 6 pages; to appear in Tohoku Math ...
Gerhard Roehrle, Torsten Hoge
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Reflection arrangements and ribbon representations [PDF]
European Journal of Combinatorics, 2014 Version 3. 34 pages. Added section on additional properties of ribbon representations.
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On inductively free restrictions of reflection arrangements
Journal of Algebra, 2014 15 pages, final version to appear in Journal of ...
Gerhard Roehrle, Torsten Hoge
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Inductive freeness of Ziegler's canonical multiderivations for reflection arrangements [PDF]
Journal of Algebra, 2018 Let $A$ be a free hyperplane arrangement. In 1989, Ziegler showed that the restriction $A''$ of $A$ to any hyperplane endowed with the natural multiplicity is then a free multiarrangement. We initiate a study of the stronger freeness property of inductive freeness for these canonical free multiarrangements and investigate them for the underlying class ...
Gerhard Roehrle, Torsten Hoge
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Finite complex reflection arrangements are K(pi,1) [PDF]
Annals of Mathematics, 2015 71 pages. v5 minor fixes over v4; v4 contains an entirely rewritten Section 11, a new appendix on Garside theory, and many more improvements (most notably to Section 7).
David Bessis
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Recursively free reflection arrangements
Journal of Algebra, 2017 26 pages, 3 figures. Corrected typos, added reference in section 5.
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Arrangements defined by unitary reflection groups
Mathematische Annalen, 1982 Let V be a complex vector space of dimension I. An arrangement in V is a finite set d of hyperplanes, all containing the origin. Let L = L ( d ) be the set of intersections of elements of ~r Partially order L by reverse inclusion so that L has V as its minimal element and d as its set of atoms.
Peter Orlik, Louis Solomon
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MAT-free Reflection Arrangements [PDF]
The Electronic Journal of Combinatorics, 2020 We introduce the class of MAT-free hyperplane arrangements which is based on the Multiple Addition Theorem by Abe, Barakat, Cuntz, Hoge, and Terao. We also investigate the closely related class of MAT2-free arrangements based on a recent generalization of the Multiple Addition Theorem by Abe and Terao.
Michael Cuntz, Paul Mücksch
openaire +2 more sources