# Publications

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## On the number of connected components of the parabolic curve

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 the real projective 3-space
whose parabolic
curve is smooth and has d(d-2)² connected components.