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On the volume of complex amoebas

URN to cite this document:
urn:nbn:de:bvb:355-epub-205159
Madani, Farid ; Nisse, Mounir
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Date of publication of this fulltext: 18 Apr 2011 06:35


Abstract

The paper deals with amoebas of k-dimensional algebraic varieties in the algebraic complex torus of dimension n 2k. First, we show that the area of complex algebraic curve amoebas is finite. Moreover, we give an estimate of this area in the rational curve case in terms of the degree of the
rational parametrization coordinates. We also show that the volume of the amoeba of k-dimensional algebraic variety in (C)n, with n 2k, is finite.


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