20 citations · 22 across the 3 of their papers we have counts for
3 papers
math.AG2017
Toric Cycles in the Complement of a Complex Curve in
Alexey Lushin, Dmitry Pochekutov
The amoeba of a complex curve in the 2-dimensional complex torus is its image under the projection onto the real subspace in the logarithmic scale. The complement to an amoeba is a…
math.CV2012★ 2 cited
Discriminant and Singularities of Logarithmic Gauss Map, Examples and Application
Bernd Martin, Dmitry Pochekutov
The study of hypersurfaces in a torus leads to the beautiful zoo of amoebas and their contours, whose possible configurations are seen from combinatorial data. There is a deep conn…
math-ph2011★ 20 cited
Amoebas of complex hypersurfaces in statistical thermodynamics
Mikael Passare, Dmitry Pochekutov, August Tsikh
The amoeba of a complex hypersurface is its image under a logarithmic projection. A number of properties of algebraic hypersurface amoebas are carried over to the case of transcend…