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Cell Complexities in Hyperplane Arrangements

✍ Scribed by Boris Aronov; Micha Sharir

Publisher
Springer
Year
2004
Tongue
English
Weight
152 KB
Volume
32
Category
Article
ISSN
0179-5376

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πŸ“œ SIMILAR VOLUMES

Simplicial cells in arrangements of hype
Simplicial cells in arrangements of hyperplanes
✍ R. W. Shannon πŸ“‚ Article πŸ“… 1979 πŸ› Springer 🌐 English βš– 322 KB

Let ~ be an arrangement of n hyperplanes in pa, C(,~Β’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(~Β’t~), each h

Intersection subgroups of complex hyperp
Intersection subgroups of complex hyperplane arrangements
✍ Luis Paris πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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 βŠ‡ X}, and We call the images of these monomorphisms intersection subgroups of type X and prove that they form a conjugacy class

Higher Homotopy Groups of Complements of
Higher Homotopy Groups of Complements of Complex Hyperplane Arrangements
✍ Stefan Papadima; Alexander I. Suciu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 241 KB

We generalize results of Hattori on the topology of complements of hyperplane arrangements, from the class of generic arrangements, to the much broader class of hypersolvable arrangements. We show that the higher homotopy groups of the complement vanish in a certain combinatorially determined range,