Results 171 to 180 of about 1,721 (200)
Generic section of a hyperplane arrangement and twisted Hurewicz maps [PDF]
Topology and Its Applications, 2008 We consider a twisted version of the Hurewicz map on the complement of a hyperplane arrangement. The purpose of this paper is to prove surjectivity of the twisted Hurewicz map under some genericity conditions. As a corollary, we also prove that a generic
Masahiko Yoshinaga
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Computing Characteristic Polynomials of Hyperplane Arrangements with Symmetries [PDF]
Discrete and Computational Geometry, 2023 Brysiewicz T, Eble H, Kühne L. Computing characteristic polynomials of hyperplane arrangements with symmetries. Discrete and Computational Geometry. 2023;70:1356–1377.We introduce a new algorithm computing the characteristic polynomials of hyperplane ...
Lukas Kühne
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Hyperplane arrangements between Shi and Ish [PDF]
Electronic Notes in Discrete Mathematics, 2018 We introduce a new family of hyperplane arrangements in dimension n≥3 that includes both the Shi arrangement and the Ish arrangement. We prove that all the members of this family have the same number of regions -- the connected components of the ...
Rui Duarte, Antonio Guedes De Oliveira
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Lattice and order properties of the poset of regions in a hyperplane arrangement [PDF]
Algebra Universalis, 2003 We show that the poset of regions (with respect to a canonical base region)of a supersolvable hyperplane arrangement is a congruence normal lattice. Specifically,the poset of regions of a supersolvable arrangement of rank k is obtained via a sequenceof ...
Nathan Reading, Reading Nathan
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On the Zone Theorem for Hyperplane Arrangements
SIAM Journal on Computing, 1993In the last years many interesting papers about problems of computational geometry deal with arrangements of hyperplanes in \(d\)-dimensional real space. The known zone theorem says that the number of faces bounding the cells intersected by another hyperplane is \(O(n^{d-1})\).
Herbert Edelsbrunner +2 more
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2003
There are many fields which are similar in spirit and related in the methods used and results obtained to the combinatorial theory of polytopes. The present chapter is devoted to one such field: to questions dealing with arrangements of (or partitions by) hyperplanes.
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There are many fields which are similar in spirit and related in the methods used and results obtained to the combinatorial theory of polytopes. The present chapter is devoted to one such field: to questions dealing with arrangements of (or partitions by) hyperplanes.
openaire +1 more source
Moduli of Weighted Hyperplane Arrangements
2015Preface.- Introduction.- Stable pairs and their moduli.- Stable toric varieties.- Matroids.- Matroid polytopes and tilings.- Weighted stable hyperplane arrangements.- Abelian Galois covers.- Bibliography.
G. Bini +3 more
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Twisted Alexander modules of hyperplane arrangement complements
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021Eva Elduque
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