9 citations · 9 across the 4 of their papers we have counts for
4 papers
Non-existence of torically maximal hypersurfaces
Erwan Brugallé, Grigory Mikhalkin, Jean-Jacques Risler +1
Torically maximal curves (known also as simple Harnack curves) are real algebraic curves in the projective plane such that their logarithmic Gauß map is totally real. In this paper…
On the total curvature of tropical hypersurfaces
Benoît Bertrand, Lucía López de Medrano, Jean-Jacques Risler
This paper studies the curvatures of amoebas and real amoebas (i.e. essentially logarithmic curvatures of the complex and real parts of a real algebraic hypersurface) and of tropic…
On the curvature of the real amoeba
Mikael Passare, Jean-Jacques Risler
For a real smooth algebraic curve $A \subset (\mathhbb{C}^*)^2$, the amoeba is the image of under the map Log : $(x,y) \mapsto (\log |x|, \lo…
Multi-Harnack smoothings of real plane branches
Pedro Daniel Gonzalez Perez, Jean-Jacques Risler
We introduce a new method for the construction of smoothings of a real plane branch by using Viro Patchworking method. Since real plane branches are Newton degenerated in…