Results 1 to 10 of about 52 (51)
CUTTING A PART FROM MANY MEASURES [PDF]
Forum of Mathematics, Sigma, 2019 Holmsen, Kynčl and Valculescu recently conjectured that if a finite set $X$ with $\ell n$ points in $\mathbb{R}^{d}$ that is colored by $m$ different colors can be partitioned into $n$ subsets of $\ell$ points each, such that each subset contains points ...
PAVLE V. M. BLAGOJEVIĆ +3 more
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Triangle angle sums related to translation curves in Sol geometry [PDF]
, 2022 After having investigated the geodesic and translation triangles and their angle sums in Nil and S---L2R geometries we consider the analogous problem in Sol space that is one of the eight 3-dimensional Thurston geometries.
SZIRMAI, Jenő
core +1 more source
The homogenized Linial arrangement and Genocchi numbers [PDF]
, 2022 We study the intersection lattice of a hyperplane arrangement recently introduced by Hetyei who showed that the number of regions of the arrangement is a median Genocchi number.
Wachs, Michelle L., +3 more
core +1 more source
Von Staudt constructions for skew-linear and multilinear matroids [PDF]
, 2023 This paper compares skew-linear and multilinear matroid representations. These are matroids that are representable over division rings and (roughly speaking) invertible matrices, respectively.
Kühne, Lukas +3 more
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Ramsey-type theorems for lines in 3-space [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 We prove geometric Ramsey-type statements on collections of lines in 3-space. These statements give guarantees on the size of a clique or an independent set in (hyper)graphs induced by incidence relations between lines, points, and reguli in 3-space ...
Jean Cardinal +2 more
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Equivariant perverse sheaves on Coxeter arrangements and buildings [PDF]
Épijournal de Géométrie Algébrique, 2019 When $W$ is a finite Coxeter group acting by its reflection representation on $E$, we describe the category ${\mathsf{Perv}}_W(E_{\mathbb C}, {\mathcal{H}}_{\mathbb C})$ of $W$-equivariant perverse sheaves on $E_{\mathbb C}$, smooth with respect to the ...
Martin H. Weissman
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Triangular arrangements on the projective plane [PDF]
Épijournal de Géométrie Algébrique, 2023 In this work we study line arrangements consisting in lines passing through three non-aligned points. We call them triangular arrangements. We prove that any combinatorics of a triangular arrangement is always realized by a Roots-of-Unity-Arrangement ...
Simone Marchesi, Jean Vallès
doaj
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.
Gao Ruimei, Cui Xiupeng, Li Zhe
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A NOTE ON RICH LINES IN TRULY HIGH DIMENSIONAL SETS
Forum of Mathematics, Sigma, 2016 We modify an argument of Hablicsek and Scherr to show that if a collection of points in $\mathbb{C}^{d}$ spans many
JOSHUA ZAHL
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On the freeness of hypersurface arrangements consisting of hyperplanes and spheres
Open Mathematics, 2018 Let V be a smooth variety. A hypersurface arrangement 𝓜 in V is a union of smooth hypersurfaces, which locally looks like a union of hyperplanes. We say 𝓜 is free if all these local models can be chosen to be free hyperplane arrangements.
Gao Ruimei, Dai Qun, Li Zhe
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