13 citations · 34 across the 12 of their papers we have counts for
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A tropical characterization of complex analytic varieties to be algebraic
Farid Madani, Lamine Nisse, Mounir Nisse
In this paper we study a -dimensional analytic subvariety of the complex algebraic torus. We show that if its logarithmic limit set is a finite rational -dimensional sphe…
Generalized logarithmic Gauss map and its relation to (co)amoebas
Farid Madani, Mounir Nisse
We define the generalized logarithmic Gauss map for algebraic varieties of the complex algebraic torus of any codimension. Moreover, we describe the set of critical points of the l…
Analytic varieties with finite volume amoebas are algebraic
Farid Madani, Mounir Nisse
In this paper, we study the amoeba volume of a given dimensional generic analytic variety of the complex algebraic torus $(\C^*)^n$. When , we show that is al…
On the Volume of Complex Amoebas
Farid Madani, Mounir Nisse
The paper deals with amoebas of -dimensional algebraic varieties in the algebraic complex torus of dimension . First, we show that the area of complex algebraic curve…