On the number of connected components of the parabolic curve

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dc.creatorBertrand, Benoit
dc.creatorBrugallé, Erwan
dc.date2009-04-29
dc.date.accessioned2026-07-07T13:09:58Z
dc.date.available2026-07-07T13:09:58Z
dc.descriptionWe 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.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/0904.4652
dc.identifierhttp://arxiv.org/abs/0904.4652
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228918
dc.subjectAlgebraic Geometry
dc.subject14P25
dc.titleOn the number of connected components of the parabolic curve
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