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Arrangements of Hyperplanes and the Number of Threshold Functions

✍ Scribed by A. A. Irmatov


Book ID
110309035
Publisher
Springer Netherlands
Year
2001
Tongue
English
Weight
132 KB
Volume
68
Category
Article
ISSN
0167-8019

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πŸ“œ SIMILAR VOLUMES


The face lattice of hyperplane arrangeme
✍ GΓΌnter M. Ziegler πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 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

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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