Browsing by Author "Nisse, Mounir"

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    Analytic varieties with finite volume amoebas are algebraic
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2011) Madani, Farid; Nisse, Mounir
    In this paper, we study the amoeba volume of a given k-dimensional generic analytic variety V of the complex algebraic torus (C∗)n. When n>=2k, we show that V is algebraic if and only if the volume of its amoeba is finite. Moreover, in this case, we establish a comparison theorem for the volume of the amoeba and the coamoeba. Examples and applications to the k-linear spaces will be given.