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On the volume of complex amoebas

Madani, Farid and Nisse, Mounir (2011) On the volume of complex amoebas. Preprintreihe der Fakultät Mathematik 13/2011, Working Paper. (Submitted)

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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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Item Type:Monograph (Working Paper)
Date:2011
Institutions:Mathematics > Prof. Dr. Bernd Ammann
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Submitted
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Deposited On:18 Apr 2011 06:35
Last Modified:13 Mar 2014 17:15
Item ID:20515
Owner Only: item control page

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