Benoit Bertrand, Erwan Brugallé
Published 2009-04-29Version 1
We construct a polynomial of degree d in two variables whose Hessian curve has (d-2)^2 connected components using Viro patchworking. In particular, this implies the existence of a smooth real algebraic surface of degree d in RP^3 whose parabolic curve is smooth and has d(d-2)^2 connected components.
On the Number of Connected Components of T-Hypersurfaces
Iterations of the functor of naive $\mathbb A^1$-connected components of varieties
Coamoebas of polynomials supported on circuits
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