✦ LIBER ✦

Projection Volumes of Hyperplane Arrangements

✍ Scribed by Caroline J. Klivans; Ed Swartz

Publisher: Springer
Year: 2011
Tongue: English
Weight: 436 KB
Volume: 46
Category: Article
ISSN: 0179-5376
DOI: 10.1007/s00454-011-9363-7

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📜 SIMILAR VOLUMES

Deformations of Coxeter Hyperplane Arran

Deformations of Coxeter Hyperplane Arrangements

✍ Alexander Postnikov; Richard P. Stanley 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 479 KB

We investigate several hyperplane arrangements that can be viewed as deformations of Coxeter arrangements. In particular, we prove a conjecture of Linial and Stanley that the number of regions of the arrangement x i &x j =1, 1 i< j n, is equal to the number of alternating trees on n+1 vertices. Rema

The face lattice of hyperplane arrangeme

The face lattice of hyperplane arrangements

✍ Günter M. Ziegler 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 699 KB

## Every arrangement %' of a&e hyperplanes in Rd determines a partition of Rd into open topological cells. The face lattice L(X) of this partition was the object of a smdy by Barnabei and Brini, wko de.;ermined the homotopy type of its intervals. We use g:am&ic con~huctions from the theory of conv

Intersection subgroups of complex hyperp

Intersection subgroups of complex hyperplane arrangements

✍ Luis Paris 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 252 KB

Let A be a central arrangement of hyperplanes in C n , let M(A) be the complement of A, and let L(A) be the intersection lattice of A. For X in L(A) we set A X = {H ∈ A: H ⊇ X}, and We call the images of these monomorphisms intersection subgroups of type X and prove that they form a conjugacy class

Laurent Determinants and Arrangements of

Laurent Determinants and Arrangements of Hyperplane Amoebas

✍ Mikael Forsberg; Mikael Passare; August Tsikh 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 225 KB

We study amoebas associated with Laurent polynomials and obtain new results regarding the number and structure of the connected components of the complement of the amoeba. We also investigate the associated Laurent determinant. In the case of a hyperplane arrangement we perform explicit computations

The slimmest arrangements of hyperplanes

✍ Thomas Zaslavsky 📂 Article 📅 1983 🏛 Springer 🌐 English ⚖ 706 KB

Simplicial cells in arrangements of hype

Simplicial cells in arrangements of hyperplanes

✍ R. W. Shannon 📂 Article 📅 1979 🏛 Springer 🌐 English ⚖ 322 KB

Let ~ be an arrangement of n hyperplanes in pa, C(,~¢t~) its cell complex, and Hany hyperplane of~Ze. It is proved: (I) If~ is not a near pencil then there are at least n -d -I simplicial d-cells of C(,,~), each having no facet in H. (2) There are at least d + I simplicial d-cells of C(~¢t~), each h