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Laurent Determinants and Arrangements of Hyperplane Amoebas

✍ Scribed by Mikael Forsberg; Mikael Passare; August Tsikh

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
225 KB
Volume
151
Category
Article
ISSN
0001-8708

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✦ Synopsis

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 leading to a closed formula for the Laurent determinant.

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