Browsing 2011 by MSC "32"

Now showing items 1-2 of 2

Analytic Varieties with Finite Volume Amoebas are Algebraic

[OWP-2011-33] Madani, Farid; Nisse, Mounir (Mathematisches Forschungsinstitut Oberwolfach, 2011)

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 ...
Second Main Theorems and Unicity of Meromorphic Mappings with Moving Hypersurfaces

[OWP-2011-38] Si, Duc Quang (Mathematisches Forschungsinstitut Oberwolfach, 2011)

In this article, we establish some new second main theorems for meromorphic mappings of $\mathbf{C}^m$ into $\mathbf{P}^n(\mathbf{C})$ and moving hypersurfaces with truncated counting functions. As an application, we prove ...