On the number of connected components of the parabolic curve

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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.
4 pages

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Algebraic Geometry, 14P25

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http://salesiana.dossiersoluciones.com/handle/123456789/228918

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.4652
 http://arxiv.org/abs/0904.4652

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arXiv