Laurent determinants and arrangements of hyperplane amoebas

摘要

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. (C) 2000 Academic Press. [References: 11]