Arrangements of Hyperplanes and the Number of Threshold Functions
β 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
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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
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