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“Salut à toi Che Guevara”

By Benoît Bertrand, Erwan Brugallé and Bérurier Noir

Abstract

Abstract. 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

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